<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:0bf271b8-99e8-4b56-99b9-8e3012c80b19,g:c58a1616-73d0-43cb-9047-a0e811deb500-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedStatementsofIncome" xlink:type="simple" xlink:href="reyn-20250331.xsd#CondensedConsolidatedStatementsofIncome"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedStatementsofIncome" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_99cfc5ad-e29f-47d3-9602-e5c2bc240816" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_GrossProfit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_bb05bd31-9c2a-468e-9719-134301d93285" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_99cfc5ad-e29f-47d3-9602-e5c2bc240816" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_bb05bd31-9c2a-468e-9719-134301d93285" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_f29876fe-9358-4ec6-9250-358918adabec" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_99cfc5ad-e29f-47d3-9602-e5c2bc240816" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_f29876fe-9358-4ec6-9250-358918adabec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_9b4bdf78-2569-40d5-9b53-4984f0cd0446" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_9d360057-40f5-4461-afba-e8bde677cced" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_9b4bdf78-2569-40d5-9b53-4984f0cd0446" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_9d360057-40f5-4461-afba-e8bde677cced" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_d2dd57eb-14ee-4f57-bd67-dcafed2ea3f3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_9b4bdf78-2569-40d5-9b53-4984f0cd0446" xlink:to="loc_us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_d2dd57eb-14ee-4f57-bd67-dcafed2ea3f3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_2c29b70b-a71d-4a7a-b0e7-93115f5825a7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_ff010a03-66ff-4c4c-92aa-19f48591765e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_2c29b70b-a71d-4a7a-b0e7-93115f5825a7" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperations_ff010a03-66ff-4c4c-92aa-19f48591765e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_reyn_GainLossOnDebtModification_bdeb2de3-5d9e-412c-b9da-6c5d9a30019b" xlink:href="reyn-20250331.xsd#reyn_GainLossOnDebtModification"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_2c29b70b-a71d-4a7a-b0e7-93115f5825a7" xlink:to="loc_reyn_GainLossOnDebtModification_bdeb2de3-5d9e-412c-b9da-6c5d9a30019b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_05b0dc85-54d1-4a84-bcbf-40e77c1f6263" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_2c29b70b-a71d-4a7a-b0e7-93115f5825a7" xlink:to="loc_us-gaap_InterestExpenseNonoperating_05b0dc85-54d1-4a84-bcbf-40e77c1f6263" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_5322bac0-dd88-49eb-8ac9-14503b41c9a8" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_1773ffe4-07de-4a5d-bfb6-5afd7b71765e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_5322bac0-dd88-49eb-8ac9-14503b41c9a8" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_1773ffe4-07de-4a5d-bfb6-5afd7b71765e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_bc5d28c4-3683-43ac-a08c-c34933f33ef0" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_5322bac0-dd88-49eb-8ac9-14503b41c9a8" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_bc5d28c4-3683-43ac-a08c-c34933f33ef0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperations_25a91c17-d78c-4411-809b-9f52be9ab277" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_420fb96c-2803-44d1-8714-91bdfa79c76d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_GrossProfit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_25a91c17-d78c-4411-809b-9f52be9ab277" xlink:to="loc_us-gaap_GrossProfit_420fb96c-2803-44d1-8714-91bdfa79c76d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpense_4e57fe61-3efa-4d3d-a952-b0925a4f857a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_SellingGeneralAndAdministrativeExpense"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_25a91c17-d78c-4411-809b-9f52be9ab277" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpense_4e57fe61-3efa-4d3d-a952-b0925a4f857a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingIncomeExpenseNet_4a8b80e2-0bf7-41e1-ae52-0c601822cb9a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherOperatingIncomeExpenseNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperations_25a91c17-d78c-4411-809b-9f52be9ab277" xlink:to="loc_us-gaap_OtherOperatingIncomeExpenseNet_4a8b80e2-0bf7-41e1-ae52-0c601822cb9a" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedStatementsofComprehensiveIncome" xlink:type="simple" xlink:href="reyn-20250331.xsd#CondensedConsolidatedStatementsofComprehensiveIncome"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedStatementsofComprehensiveIncome" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_896a0b13-3dad-4ca8-b44f-377aca758d8c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_dc11d7ba-584a-49f2-9211-31e633b24fb2" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_896a0b13-3dad-4ca8-b44f-377aca758d8c" xlink:to="loc_us-gaap_NetIncomeLoss_dc11d7ba-584a-49f2-9211-31e633b24fb2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_acb41f6f-1812-4498-9896-86620a8f6557" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_896a0b13-3dad-4ca8-b44f-377aca758d8c" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_acb41f6f-1812-4498-9896-86620a8f6557" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ea55c22-ac57-4e38-8a09-9e3559b333b4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent_e8e3a115-b1b8-4563-92d7-9a20bc4a1786" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ea55c22-ac57-4e38-8a09-9e3559b333b4" xlink:to="loc_us-gaap_OtherComprehensiveIncomeDefinedBenefitPlansAdjustmentNetOfTaxPortionAttributableToParent_e8e3a115-b1b8-4563-92d7-9a20bc4a1786" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTaxParent_8560925b-ee47-48b9-afb1-ad177aca6a4b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTaxParent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ea55c22-ac57-4e38-8a09-9e3559b333b4" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTaxParent_8560925b-ee47-48b9-afb1-ad177aca6a4b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_2b29866e-11d5-43bc-9551-9074b105a089" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ea55c22-ac57-4e38-8a09-9e3559b333b4" xlink:to="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_2b29866e-11d5-43bc-9551-9074b105a089" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedBalanceSheets" xlink:type="simple" xlink:href="reyn-20250331.xsd#CondensedConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherReceivablesNetCurrent_8de2e717-2ffd-4e1e-90ef-dfab736ed7eb" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherReceivablesNetCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:to="loc_us-gaap_OtherReceivablesNetCurrent_8de2e717-2ffd-4e1e-90ef-dfab736ed7eb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_2928fd43-bde5-4d73-a540-190063caf0ab" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_2928fd43-bde5-4d73-a540-190063caf0ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_71b4ed21-bd1d-4b19-8cac-82b38ff0a402" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InventoryNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:to="loc_us-gaap_InventoryNet_71b4ed21-bd1d-4b19-8cac-82b38ff0a402" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsCurrent_3af56cc5-56dd-4e70-bb64-298b3c2b0d10" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherAssetsCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:to="loc_us-gaap_OtherAssetsCurrent_3af56cc5-56dd-4e70-bb64-298b3c2b0d10" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_f52a148a-b0d3-47b9-b2fb-f9ae6f038017" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccountsAndOtherReceivablesNetCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:to="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_f52a148a-b0d3-47b9-b2fb-f9ae6f038017" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_62419d4c-aef9-4f8e-a0b4-b94f8c3510f7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_af973712-fae3-4220-9a54-6dc2476610f1" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_62419d4c-aef9-4f8e-a0b4-b94f8c3510f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_6e3865f7-36ed-4661-b272-0a3b9f2a235a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_8d3b166a-06e2-4be4-8632-843b826ab8b9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_6e3865f7-36ed-4661-b272-0a3b9f2a235a" xlink:to="loc_us-gaap_Liabilities_8d3b166a-06e2-4be4-8632-843b826ab8b9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_542c6ae8-cca6-4e00-9909-518833ffe2ed" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_6e3865f7-36ed-4661-b272-0a3b9f2a235a" xlink:to="loc_us-gaap_CommitmentsAndContingencies_542c6ae8-cca6-4e00-9909-518833ffe2ed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_e35c80cd-026a-4611-8dd6-fffb81472d79" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_6e3865f7-36ed-4661-b272-0a3b9f2a235a" xlink:to="loc_us-gaap_StockholdersEquity_e35c80cd-026a-4611-8dd6-fffb81472d79" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_79c4f183-d491-4952-a9bb-0c1a0a32969a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedIncomeTaxesCurrent_03fc0380-ca7e-437b-8d1b-5d6a394350c0" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccruedIncomeTaxesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_79c4f183-d491-4952-a9bb-0c1a0a32969a" xlink:to="loc_us-gaap_AccruedIncomeTaxesCurrent_03fc0380-ca7e-437b-8d1b-5d6a394350c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_942cc2ae-7c51-4db8-a792-90fec8b9101d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_79c4f183-d491-4952-a9bb-0c1a0a32969a" xlink:to="loc_us-gaap_AccountsPayableCurrent_942cc2ae-7c51-4db8-a792-90fec8b9101d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities_1821d542-3e8b-410b-a17e-f130437fbd0b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_79c4f183-d491-4952-a9bb-0c1a0a32969a" xlink:to="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities_1821d542-3e8b-410b-a17e-f130437fbd0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_196c205b-284e-4435-b6ff-c48e6f154549" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_79c4f183-d491-4952-a9bb-0c1a0a32969a" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_196c205b-284e-4435-b6ff-c48e6f154549" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_dc8fe6fd-2bf9-403d-b1dd-6d5d795c11a8" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_79c4f183-d491-4952-a9bb-0c1a0a32969a" xlink:to="loc_us-gaap_LongTermDebtCurrent_dc8fe6fd-2bf9-403d-b1dd-6d5d795c11a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_7e4a3528-6989-46a6-b1dc-dd57c3c07d2c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:to="loc_us-gaap_AssetsCurrent_7e4a3528-6989-46a6-b1dc-dd57c3c07d2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_8011ec92-de30-4494-9447-025cce485a2c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_8011ec92-de30-4494-9447-025cce485a2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_2d6cff03-0166-40ee-bfcc-69d9d76b9de2" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_2d6cff03-0166-40ee-bfcc-69d9d76b9de2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_feb3f1f7-e78f-4055-bc3f-e63a4ff38f1b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:to="loc_us-gaap_Goodwill_feb3f1f7-e78f-4055-bc3f-e63a4ff38f1b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_29be9b77-2838-4827-937c-cd6814e14fd3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_29be9b77-2838-4827-937c-cd6814e14fd3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_4a25122d-b400-42e3-864b-3af28ea7008d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_069e3d05-2bac-4e19-8e67-6ca6b8bf6939" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_4a25122d-b400-42e3-864b-3af28ea7008d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_629bae58-59b4-4e00-88ba-654b6f180ec8" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_98cd6776-f0d8-471b-904d-175db8725da9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_629bae58-59b4-4e00-88ba-654b6f180ec8" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_98cd6776-f0d8-471b-904d-175db8725da9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_0c04452a-fae4-4df9-b6de-fee446c46edc" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_629bae58-59b4-4e00-88ba-654b6f180ec8" xlink:to="loc_us-gaap_CommonStockValue_0c04452a-fae4-4df9-b6de-fee446c46edc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_efbc0af4-922c-4e80-a4cc-d02e3b087cbb" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_629bae58-59b4-4e00-88ba-654b6f180ec8" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_efbc0af4-922c-4e80-a4cc-d02e3b087cbb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapitalCommonStock_a6e26dae-a78c-442b-8672-d22f3d1be1b0" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AdditionalPaidInCapitalCommonStock"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_629bae58-59b4-4e00-88ba-654b6f180ec8" xlink:to="loc_us-gaap_AdditionalPaidInCapitalCommonStock_a6e26dae-a78c-442b-8672-d22f3d1be1b0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_48e78873-5418-4509-8775-a89caa22023a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:to="loc_us-gaap_LiabilitiesCurrent_48e78873-5418-4509-8775-a89caa22023a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_2924ac8d-871d-4dd9-ba1a-bd4820fdb03f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_2924ac8d-871d-4dd9-ba1a-bd4820fdb03f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_8d413b75-048e-4c15-a48b-3d4959d449e5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_8d413b75-048e-4c15-a48b-3d4959d449e5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_0165b3bb-a0aa-45e8-b74a-60cceb319b9b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_0165b3bb-a0aa-45e8-b74a-60cceb319b9b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PostemploymentBenefitsLiabilityNoncurrent_d0147fdd-e3ef-42f5-88cf-e626a4d12f64" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PostemploymentBenefitsLiabilityNoncurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:to="loc_us-gaap_PostemploymentBenefitsLiabilityNoncurrent_d0147fdd-e3ef-42f5-88cf-e626a4d12f64" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_1326a5fd-366b-4f82-ad93-7d3cefcaf60a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_61ce0384-c3d6-4d04-9451-27c820d545dc" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_1326a5fd-366b-4f82-ad93-7d3cefcaf60a" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="simple" xlink:href="reyn-20250331.xsd#CondensedConsolidatedStatementsofCashFlows"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_387a06fc-55e6-4f70-ae2d-cacc4a383436" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_NetIncomeLoss_387a06fc-55e6-4f70-ae2d-cacc4a383436" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_92a37b61-0d2d-44e9-9072-47273c660262" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DepreciationDepletionAndAmortization"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_DepreciationDepletionAndAmortization_92a37b61-0d2d-44e9-9072-47273c660262" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefit_39559631-bca0-48b2-917b-2e16cf1aaf2c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefit_39559631-bca0-48b2-917b-2e16cf1aaf2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_4df4048d-eb2a-4f7a-a30a-0bcd49082551" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_ShareBasedCompensation_4df4048d-eb2a-4f7a-a30a-0bcd49082551" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_781aa68c-5eb6-408b-bcc7-7109f80076a0" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_781aa68c-5eb6-408b-bcc7-7109f80076a0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherReceivables_2658d662-a574-45ae-b111-20e976b76991" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInOtherReceivables"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherReceivables_2658d662-a574-45ae-b111-20e976b76991" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties_ac72eb26-b263-4360-aebe-2e9c727dbb9f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties_ac72eb26-b263-4360-aebe-2e9c727dbb9f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_6bcb951d-c953-4f36-9b91-6f12627273b4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInInventories"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_6bcb951d-c953-4f36-9b91-6f12627273b4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableTrade_360c55b1-3f79-46be-b2ab-1d582d7275e3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInAccountsPayableTrade"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableTrade_360c55b1-3f79-46be-b2ab-1d582d7275e3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDueToRelatedPartiesCurrent_528c22b6-9687-4739-84a8-1ad459964fc4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInDueToRelatedPartiesCurrent"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInDueToRelatedPartiesCurrent_528c22b6-9687-4739-84a8-1ad459964fc4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInIncomeTaxesPayableNetOfIncomeTaxesReceivable_f97d5104-507b-4551-a89e-e3898f241d82" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInIncomeTaxesPayableNetOfIncomeTaxesReceivable"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInIncomeTaxesPayableNetOfIncomeTaxesReceivable_f97d5104-507b-4551-a89e-e3898f241d82" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_9ede5865-9562-4260-bfa1-f250804ceea5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_9ede5865-9562-4260-bfa1-f250804ceea5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_ca01c1d2-4169-4761-a5d0-41a6a3210119" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet"/>
    <link:calculationArc order="13" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_948cecf2-d121-4a33-9ea1-d55f80476db6" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_ca01c1d2-4169-4761-a5d0-41a6a3210119" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8882177a-a582-4485-ad07-ac5394b4fd00" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividends_32ab8751-fd71-481c-9f86-ec2b34d7ac0b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PaymentsOfDividends"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8882177a-a582-4485-ad07-ac5394b4fd00" xlink:to="loc_us-gaap_PaymentsOfDividends_32ab8751-fd71-481c-9f86-ec2b34d7ac0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_f7045279-c904-4b3c-85e3-be650fa75f7d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8882177a-a582-4485-ad07-ac5394b4fd00" xlink:to="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_f7045279-c904-4b3c-85e3-be650fa75f7d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_db32d19f-2f59-44d3-bb00-7340267327fa" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8882177a-a582-4485-ad07-ac5394b4fd00" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_db32d19f-2f59-44d3-bb00-7340267327fa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromRepaymentsOfOtherLongTermDebt_198b35f7-39a4-44ca-924e-4214216ee003" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProceedsFromRepaymentsOfOtherLongTermDebt"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8882177a-a582-4485-ad07-ac5394b4fd00" xlink:to="loc_us-gaap_ProceedsFromRepaymentsOfOtherLongTermDebt_198b35f7-39a4-44ca-924e-4214216ee003" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLongTermDebt_87d5eaec-1d3c-4d0b-9e19-dc5f0953dcf6" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_RepaymentsOfLongTermDebt"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8882177a-a582-4485-ad07-ac5394b4fd00" xlink:to="loc_us-gaap_RepaymentsOfLongTermDebt_87d5eaec-1d3c-4d0b-9e19-dc5f0953dcf6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_be2e7371-85d1-4890-be31-c52b77b976c5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0146e1c6-99fe-4d3f-b625-bebc93e30f02" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_be2e7371-85d1-4890-be31-c52b77b976c5" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0146e1c6-99fe-4d3f-b625-bebc93e30f02" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_1baaf909-69a4-4c10-8743-cca207492785" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_be2e7371-85d1-4890-be31-c52b77b976c5" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_1baaf909-69a4-4c10-8743-cca207492785" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_0a030ad4-7cee-4ea7-a51f-c785618a3e45" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_be2e7371-85d1-4890-be31-c52b77b976c5" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_0a030ad4-7cee-4ea7-a51f-c785618a3e45" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_37700dbd-97e0-4143-a931-803e948d4fe2" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_7d4ade70-7163-4cb2-9ee5-4b9efccfc974" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_37700dbd-97e0-4143-a931-803e948d4fe2" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_7d4ade70-7163-4cb2-9ee5-4b9efccfc974" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/InventoriesDetails" xlink:type="simple" xlink:href="reyn-20250331.xsd#InventoriesDetails"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/InventoriesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_093626a0-ca38-4772-a265-17dbe30110fe" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InventoryNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryRawMaterials_dbde1129-18c1-4c3c-8eec-da298d99ca2b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InventoryRawMaterials"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_093626a0-ca38-4772-a265-17dbe30110fe" xlink:to="loc_us-gaap_InventoryRawMaterials_dbde1129-18c1-4c3c-8eec-da298d99ca2b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryWorkInProcess_62372a30-5b6b-4316-b62e-3b630948934d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InventoryWorkInProcess"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_093626a0-ca38-4772-a265-17dbe30110fe" xlink:to="loc_us-gaap_InventoryWorkInProcess_62372a30-5b6b-4316-b62e-3b630948934d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryFinishedGoods_3434514c-e34e-4889-bbd3-256cd4d05eb3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InventoryFinishedGoods"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_093626a0-ca38-4772-a265-17dbe30110fe" xlink:to="loc_us-gaap_InventoryFinishedGoods_3434514c-e34e-4889-bbd3-256cd4d05eb3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherInventoriesSpareParts_664896a0-1ad0-4c1c-93c6-1424c64d20bb" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherInventoriesSpareParts"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InventoryNet_093626a0-ca38-4772-a265-17dbe30110fe" xlink:to="loc_us-gaap_OtherInventoriesSpareParts_664896a0-1ad0-4c1c-93c6-1424c64d20bb" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/DebtScheduleofLongtermDebtDetails" xlink:type="simple" xlink:href="reyn-20250331.xsd#DebtScheduleofLongtermDebtDetails"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/DebtScheduleofLongtermDebtDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_12c16c49-83e2-4daa-8a75-7cf83fbfb3b1" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_782b9bff-e595-4580-b9b6-16ab696afef2" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_12c16c49-83e2-4daa-8a75-7cf83fbfb3b1" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_782b9bff-e595-4580-b9b6-16ab696afef2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_5ab36e33-6936-42da-8ad5-351d010c8918" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_12c16c49-83e2-4daa-8a75-7cf83fbfb3b1" xlink:to="loc_us-gaap_LongTermDebtCurrent_5ab36e33-6936-42da-8ad5-351d010c8918" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/DebtScheduleofLongtermDebtDetails_1" xlink:type="simple" xlink:href="reyn-20250331.xsd#DebtScheduleofLongtermDebtDetails_1"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/DebtScheduleofLongtermDebtDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_bb8a27f0-ed85-4d4a-899c-5012df8345e4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_01956ba4-9484-4c04-b8c9-aee881fc9af7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_bb8a27f0-ed85-4d4a-899c-5012df8345e4" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_01956ba4-9484-4c04-b8c9-aee881fc9af7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_b2d2d0de-e1b1-42e4-bc21-b579248d11de" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_bb8a27f0-ed85-4d4a-899c-5012df8345e4" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_b2d2d0de-e1b1-42e4-bc21-b579248d11de" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscount_2181e4e2-ef7e-47f3-be9e-043f9432aa63" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DebtInstrumentUnamortizedDiscount"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_bb8a27f0-ed85-4d4a-899c-5012df8345e4" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscount_2181e4e2-ef7e-47f3-be9e-043f9432aa63" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.reynoldsgroupholdings.com/role/SegmentInformationScheduleofReconciliationofTotalSegmentAdjustedEBITDAtoGAAPIncomeBeforeIncomeTaxesDetails" xlink:type="simple" xlink:href="reyn-20250331.xsd#SegmentInformationScheduleofReconciliationofTotalSegmentAdjustedEBITDAtoGAAPIncomeBeforeIncomeTaxesDetails"/>
  <link:calculationLink xlink:role="http://www.reynoldsgroupholdings.com/role/SegmentInformationScheduleofReconciliationofTotalSegmentAdjustedEBITDAtoGAAPIncomeBeforeIncomeTaxesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_reyn_AdjustedEBITDAFromContinuingOperations_2c2a15e7-2259-43e3-ad44-b380fbf6d6f9" xlink:href="reyn-20250331.xsd#reyn_AdjustedEBITDAFromContinuingOperations"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:to="loc_reyn_AdjustedEBITDAFromContinuingOperations_2c2a15e7-2259-43e3-ad44-b380fbf6d6f9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_reyn_CostToExecuteStrategicInitiatives_6f46c302-6979-42f7-898e-a7f275525ca3" xlink:href="reyn-20250331.xsd#reyn_CostToExecuteStrategicInitiatives"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:to="loc_reyn_CostToExecuteStrategicInitiatives_6f46c302-6979-42f7-898e-a7f275525ca3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_534cf135-2046-4525-b048-ab19e244fabb" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:to="loc_us-gaap_InterestExpenseNonoperating_534cf135-2046-4525-b048-ab19e244fabb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_reyn_CEOTransitionCosts_74654061-9fe5-493f-8dc8-0424ded4a0f8" xlink:href="reyn-20250331.xsd#reyn_CEOTransitionCosts"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:to="loc_reyn_CEOTransitionCosts_74654061-9fe5-493f-8dc8-0424ded4a0f8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAndAmortization_b8c34bb8-eed1-4b6b-b7b5-b4f8d459f617" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DepreciationAndAmortization"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:to="loc_us-gaap_DepreciationAndAmortization_b8c34bb8-eed1-4b6b-b7b5-b4f8d459f617" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_reyn_GainLossOnDebtModification_4f30a044-3430-4b31-a89f-c8202021b0b0" xlink:href="reyn-20250331.xsd#reyn_GainLossOnDebtModification"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_95637764-f9e3-4ff2-a30d-c65b411727b6" xlink:to="loc_reyn_GainLossOnDebtModification_4f30a044-3430-4b31-a89f-c8202021b0b0" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
