Thank you for your question.  The passage you are referring to is Luke 22:19 [1], "And when He took bread, after giving thanks He broke it, and gave to them, saying, 'This is my body which is being given on behalf of you;  this do for my remembrance.'  In like manner He also the cup after supper, saying, 'This cup is the new covenant in My blood, which is being poured out on behalf of you.'" (Literal Translation).

The Greek word for remembrance is anamnaysis and literally means to call up or recall to the mind.  In English this would be to remind or remember.  This word was used to express that the participant needed to remember, or be reminded of past events that might have been forgotten.  It is a word used to express that the participant needs to stop and recall and meditate on what the elements or moment represent.

In the passage in Luke, Jesus was giving instructions to the disciples on how He was to be remembered after He was removed from them physically.  He was establishing that His finished work on the cross was to be the focal point of hope and unity to all believers until His return.