I believe the Biblical narrative describing the significance of Jesus' sacrifice was about past sins, that which humans bore without actually committing. I do not believe the death of Jesus in any way suggests, in Christian folklore, that you don't need to atone for sins.
FWIW, I think the Catholic Church (which didn't exist until hundreds of years after the whole Jesus thing) considers things like rosary prayers as atonement.
I realize the idea is that the blood of Jesus was supposed to end blood atonement and usher in a new era. However, I never thought this idea was reasonable, never identified with a God who would set such a system up, and never felt that this idea at the core of a religion would ultimately lead to positive outcomes or really much more than continued barbarism and cruelty, but I'm not going to argue with your faith.
Given what he had to work with I think he did pretty well.
Romans3:25, Hebrews9:22, Rev1:5 for instance. There are plenty more. Very prominent concept. Which is why up until recently there was plenty of talk about being "washed in the blood" in Christian churches.
(I believe the manifest brutal cruelty and outright ridiculousness of the concept was one of the primary things leading to my rejection of Christianity at a very early age.... no offense to anyone's particular faith... just my point of view)