<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-05-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001400897</issuerCik>
        <issuerName>CUSHING MLP &amp; INFRASTRUCTURE TOTAL RETURN FUND</issuerName>
        <issuerTradingSymbol>SRV</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001354719</rptOwnerCik>
            <rptOwnerName>Swank Jerry V</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 CRESCENT COURT, SUITE 1700</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <officerTitle>President, CEO, Portfolio Mgr</officerTitle>
            <otherText>Chairman, Trustee</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-05-29</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2130</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.40</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>31616</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>91810</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reported shares were acquired as a result of a merger between The Cushing Energy Income Fund (SRF), a closed-end fund, and The Cushing MLP &amp; Infrastructure Total Return Fund (SRV), a closed-end fund, in which SRV was the surviving fund.</footnote>
        <footnote id="F2">In the merger, each SRF share was converted into 0.80778543 SRV shares.</footnote>
        <footnote id="F3">The filing of this Form 4 shall not be construed as an admission that Jerry V. Swank (&quot;Mr. Swank&quot;) is or was for the purposes of Section 16(a) of the Securities Exchange Act of 1934, as amended, the beneficial owner of any of the common shares of Cushing MLP &amp; Infrastructure Total Return Fund (&quot;Common Shares&quot;) held by private investment funds ultimately managed by Mr. Swank (each, a &quot;Fund&quot; and collectively, the &quot;Funds&quot;). Pursuant to Rule 16a-1, Mr. Swank disclaims such beneficial ownership beyond his pecuniary interest in the Funds.</footnote>
        <footnote id="F4">Common Shares are held by one or more Funds that may be deemed to be controlled, directly or indirectly, by Mr. Swank by virtue of the fact that Mr. Swank serves as the manager of the general partner of such Fund's general partner.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Barry Y. Greenberg as attorney-in-fact</signatureName>
        <signatureDate>2020-06-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
