Incorrect answer teacher finally rejected twice? That’s Aussie’s pigeon! (5-5)

'incorrect answer teacher finally rejected' is the definition.
I can't judge whether this defines the answer.

'twice? that's aussie's pigeon' is the wordplay.
'twice?' indicates the doubling of some letters (I've seen 'twice' mean this).
'that's aussie's pigeon' becomes 'wonga' (I can't justify this - if you can you should give a lot more credence to this answer).
'wonga' duplicated is 'WONGA-WONGA'.