Crosby picked his third booking of the season in the 1-0 win on August 20.
United appealed against the decision, and after viewing the match video, referee Anthony Bates admitted that he made a mistake.
But new FIFA rules state that bookings cannot be withdrawn and the caution will stand.
Crosby hasn't been booked since, but he is still only two cautions away from suspension.
He has been in superb from so far this season, helping the Iron to three clean sheets as they ride high in the League One table.