The Uruguayan ace came clean about diving to try and win a penalty in his sides 0-0 draw with Stoke City in October but his comments have left Rodgers red-faced and angry.
"I've seen the comments and I think it is wrong. Certainly from our perspective it is unacceptable," said Rodgers.
"It is not something we advocate here. Our ethics are correct.
"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.
"The comments, from our point of view as a club, are not what we would want to hear.
"This is something which was obviously wrong and is not something we associate with as a club of this standing."