Adam Clarke on Luke 22:20

This cup is the new testament in my blood - Perhaps it might be better to paraphrase the passage thus: This cup which is poured out for you, signifies the blood of the new covenant, which is shortly to be ratified in (or by) the shedding of my blood. Or, This cup is the new covenant, poured out for you with my blood: - that is, the paschal sacrifice and my sacrifice happen together. But see Kypke.

It does not appear that our Lord handed either the bread or the cup to each person; he gave it to him who was next to him, and, by handing it from one to another, they shared it among themselves, Luk 22:17. In this respect the present mode of administering the Lord's Supper is not strictly according to the original institution.