Exegesis:

labōn arton eucharistēsas eklasen ‘when he had taken a loaf of bread he gave thanks and broke it,’ cf. on v. 17 where the semantic structure is the same. klaō also 24.30.

edōken autois ‘he gave it to them,’ i.e. he gave each a piece.

to huper humōn didomenon ‘that is being given for you.’ For the historical and text critical problems of this phrase and the rest of v. 19 and v. 20 cf. commentaries. huper humōn ‘in your behalf,’ not, ‘in your place’ or, ‘as a substitute for you.’ didomenon is best understood in a sacrificial sense, i.e. ‘being offered up as a sacrifice.’ The present tense of didomenon expresses that Jesus’ being offered up is viewed as happening already. The agent may be Jesus himself, or God, preferably the former.

touto poieite eis tēn emēn anamnēsin ‘do this (from now on) in remembrance of me.’ touto refers to the breaking and the eating of the bread. eis tēn emēn anamnēsin is best rendered in such a way that it implies no allusions to a memorial of a dead man.

Translation:

Bread, or, ‘a loaf (of bread),’ cf. on 4.3.

He broke it, or, ‘broke-it-to-pieces,’ ‘divided-it-in-pieces’ (Bahasa Indonesia, Toraja-Sa’dan, Sundanese, using reduplicated form of ‘to break,’ ‘to pinch-off’ and ‘to divide,’ respectively).

This is my body. The verb indicates and equation between two objects; this is often expressed by simple juxtaposition of the two nouns. Such constructions can usually cover some of several kinds of relationship, such as identity, comparison, representation, association, which is all right here, since the rendering should not be unduly interpretative. On the other hand the translator may have to avoid such an equational construction, for instance because it would exclusively indicate identification of two objects; hence e.g. ‘this represents (lit. is a sign of) my body’ (Tzeltal, chosen to avoid the suggestion of identification similar to indigenous ideas of magic).

In remembrance of me, or, ‘in order to remember me, or, to keep me in mind’; and see on 1.54.

Quoted with permission from Reiling, J. and Swellengrebel, J.L. A Handbook on the Gospel of Luke. (UBS Handbook Series). New York: UBS, 1971. For this and other handbooks for translators see here . Make sure to also consult the Handbook on the Gospel of Mark for parallel or similar verses.