He 'offered no apology for' his bad behavior. [=he didn't say he was sorry for acting badly]
The company issued/delivered an official 'apology' to its customers for its error.
He's a poor/sad 'apology for' a father. [=he's a bad father]
(..) We have already taken care of your thugs patrolling the building. I don't have any thugs. You don't? Ponton, I think we owe those men an apology. And what is it you are cutting? Pink diamond. Clear. - Clear? - It's not the Pink Panther. And what are you doing here (..)1976 The Pink Panther Strikes Again