The versatile 26-year-old was dismissed with nine minutes remaining as Wolfsburg fell to a 6-2 defeat, their first league reverse in four matches.
Trasch was sent off following a challenge on Kevin Volland that led to a penalty converted by Sejad Salihovic, and the German Football Association (DFB) have now acted.
"The sports court of the German Football Association has handed (Christian) Trasch from Wolfsburg a two-game ban for a crude challenge," read a DFB statement on Monday.
"The player and the club have agreed to the judgement, the judgement is now final."
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