I have never heard of communion being called or considered a sacrifice at any of the churches I have been at. We consider it a time to remember Jesus’ sacrifice for us. It is not believed to be a propitiatory or atonement sacrifice at my church. We believe that we are saved and forgiven when we accept Jesus. Any future sins are forgiven at the moment we confess the sins to God.
I have recently learned of something called a Todah Sacrifice. I have never heard this term used at my church, however it does sound very similar to my understanding of communion. The link below gives a more detailed description, but basically it is a thank offering given after one has been rescued or “saved” from great peril such as disease or in battle. It was used in the OT and was thought to be the only sacrifice that would continue after the Messiah. The sacrifice consists of a lamb, bread and wine. As Christians we believe we were saved when accepted Jesus, therefore we have been rescued from peril. We don’t have lamb at our communion, however we do reflect on Jesus’ sacrifice (lamb) and consume bread and wine (or grape juice for some after the temperance movement). I found learning about the Todah Sacrifice very interesting.
catholiceducation.org/en/religion-and-philosophy/apologetics/from-jewish-passover-to-christian-eucharist-the-story-of-the-todah.html
So, if someone says the Eucharist is a propitiatory sacrifice for atonement of sin, I would disagree. If someone says that the Eucharist (thanksgiving) is a Todah (thanksgiving) sacrifice, then I would probably agree.
Justin Martyr’s Dialogue with Trypho, approx. 150AD:
(This is a written dialogue between Justin Martyr and a Jewish priest who may be real or may be fictionalized for his writing purposes.)
“Now, that prayers and giving of thanks, when offered by worthy men, are the only perfect and well-pleasing sacrifices to God, I also admit. For such alone Christians have undertaken to offer, and in the remembrance effected by their solid and liquid food, whereby the suffering of the Son of God which He endured is brought to mind, whose name the high priests of your nation and your teachers have caused to be profaned and blasphemed over all the earth.”
earlychristianwritings.com/text/justinmartyr-dialoguetrypho.html