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]
(..) ...gold in there, come on! This rice is raw! You stole all my metal pots for Lord Shen! Either you cook my rice, or I cook you! - My apologies, but... - Po, do something. How am I supposed to help her cook rice without getting caught? - Wait, I have a better idea. ...two... (..)2011 Kung Fu Panda 2
(..) The mast is not a worthy opponent. - I am ready. - OK. So serious. I think I prefer the mast. Apologies. I used to punch the ironwood trees by the palace to train. Now I feel nothing. That's severely cool. Again! So, this punching ironwood trees, (..)2011 Kung Fu Panda 2