The Uruguayan forward told Fox Sports Argentina that he dived in a game against Stoke to try and win.
"I've seen the comments and I think it is wrong. Certainly from our perspective it is unacceptable. It is not something we advocate here. Our ethics are correct," said Rodgers.
"I've spoken to Luis and he is totally understanding, and knows where I'm coming from as manager of the club. This is a big club and whatever people do say goes around the world, and what was said was wrong and not acceptable - he takes that and we move on. There is no one bigger than the club or the club's image."