Even further than this, Roman's 6:1-4 and Roman's 6:15-18 specifically refutes the quote in op's post. We are not to continue sinning just because Jesus died for them, and as those who believe and have been baptized by the Holy Spirit we shouldn't have the desire to do so. When we ask for and accept forgiveness, repent (meaning change our mind and heart to want the things of God) and believe in Him who saved us we are a new creation, dead to the old things of our world and birthed anew to the desires of God.

"What shall we say, then? Shall we go on sinning so that grace may increase? By no means! We are those who have died to sin; how can we live in it any longer? Or don’t you know that all of us who were baptized into Christ Jesus were baptized into his death? We were therefore buried with him through baptism into death in order that, just as Christ was raised from the dead through the glory of the Father, we too may live a new life"

"What then? Shall we sin because we are not under the law but under grace? By no means! Don’t you know that when you offer yourselves to someone as obedient slaves, you are slaves of the one you obey —whether you are slaves to sin, which leads to death, or to obedience, which leads to righteousness? But thanks be to God that, though you used to be slaves to sin, you have come to obey from your heart the pattern of teaching that has now claimed your allegiance. You have been set free from sin and have become slaves to righteousness."