Crossword Genius

Bar right to suppress last of booze of fake origin (11)

Ross

I believe the answer is:

counterfeit

I'm a little stuck... Click here to teach me more about this clue!

'fake origin' is the definition.
'counterfeit' can be an answer for 'fake' (synonyms). I am unsure of the 'origin' bit.

'bar right to suppress last of booze' is the wordplay.
I cannot quite understand how this works, but
'bar' could be 'counter' (as in the counter of a pub or bar) and 'counter' is located in the answer.
'last' could be 'f' (I've seen this in other clues) and 'f' is found in the answer.
This explanation may well be incorrect...

'of' is the link.

Can you help me to learn more?

(Other definitions for counterfeit that I've seen before include "Forge" , "Pretended, sham" , "Sham, fake" , "Phoney" , "Pirate" .)

I've seen this clue in The Times.
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