Cousins was called for a technical foul in the second quarter for slamming his hand on the scorer's table after officials whistled teammate Jason Thompson for a foul.
Anthony had gone to the scorer's table to check back in with around 4 minutes left, but was called back to the bench after Raymond Felton's basket pushed the lead back to 12.
Kansas had a similar situation late against Michigan in the South Region semifinals, when a review at the scorer's table gave Jayhawks coach Bill Self extra time to set up a final shot.