I think that we have to look at not just a single verse, but revelation as a whole story of our salvation. Jesus offered Himself as a sacrifice or sin offering for us. That sacrifice is offered to as many who would believe, and follow Him. Throughout the Scriptures, (and elsewhere as I don’t want to fall into the error of Sola Scriptura) we read of the various things Jesus taught about the path of salvation. Baptism, the Eucharist, the authority of the Apostles to absolve sins, and their authority to rule the Church, Peter’s primacy. All part of the whole, just as the requirement for belivers to eat the body and drink the blood of Jesus is given here.
For a moment we need to also look at the covenant, or contract that God makes with us through a sacrifice which He commands, explicity or implicitly. In the Torah, we see that for a Sacrifice to be acceptable the victim must be spotless, and be offered to God by one who is authorized to do so. Prior to Moses, and after Abraham it was usually the father of the family, after Moses, when the priesthood of Israel was established it was the priests in the temple for the official cult of the Jews. The animal was offered, and killed, but it does not stop there. A portion was offered to God and a portion was taken by the priests. Sometimes a portion was given to the family or person who supplied the animal for the sacrifice, the completion of the requirements of the sacrifice was not simply in the offering of the animal and it’s slaying, but the consumption by the priests, which completed the sacrifice, and at times the consumption of the victim by the person(s) who contracted the priests to offer the sacrifice.
Now to the Sacrifice of Jesus on the Cross. The one truly acceptable Sacrifice, which all animal sacrifices which all anticipated the Cross, and from which they derived their ability to satisfy God. Being God, Jesus had the ability to transform the bread and wine into whatever He wanted, and at the same time to maintain the appearence of bread and wine. (If you don’t agree he could have done it speak up, I’m not yet asking you to believe it, just to tell me if you don’t think He could do it.) Now in connection with the ANMENSIS I spoke of at the Seder, which Jesus chose as the point in time that He used to give us the opportunity that to fulfill the command to eat His body and drink His blood, we are given the faculties to complete His Sacrifice on Calvary by consuming the victim. Unless we are only going to limit the consumption of the victim to those gathered in the Upper Room for the Seder, it only makes sense that Jesus at the same time gave us the ability to participate in the Sacrifice of the Cross, and the consumption of the victim through the action of the Mass/Divine Liturgy. By Jesus command that we do this in Anmensis of Him, and by the fact that it is (According to Catholic teaching) Jesus Himself who is the primary person who acts through the Sacraments He instituted. We do not repeatedly re-sacrifice Jesus each day on the Altar, but rather He continues to make present for us His Sacrifice, in an unbloody manner.