Keown wrote in the Daily Mail: "I hope David Luiz woke up on Monday morning feeling sheepish and embarrassed.
"His theatrical reaction and sly laughing as Rafael was sent off at Old Trafford on Sunday afternoon was disgraceful behaviour and we don't need it in the game.
"The Chelsea defender knew what he was doing all along.
"Clearly it's not very sporting behaviour and we need to eradicate it. Chelsea need to eradicate it too as this is the man touted to be the club's next captain."