Tarkowski was booked by referee Michael Naylor, who had let play go on after a foul which had actually been committed by team-mate Yennaris.
The Bees submitted video evidence to the Football Association as part of a mistaken identity appeal, and the yellow card has now been given to Yennaris.
It is the former Arsenal full-back's first caution of the season, while Tarkowski remains on seven bookings.
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