Lee McCulloch will miss Rangers' next two games after the Scottish Football Association upheld his two-match suspension for violent conduct.
The midfielder was sent off during the defeat by St Mirren on Christmas Eve, but appealed and was able to feature against Celtic and Motherwell.
However, the SFA's fast-track tribunal dismissed the club's appeal.
McCulloch will now sit out the Scottish Cup tie against Arbroath and the league trip to St Johnstone.
He was sent off by referee Steven McLean following a clash with Graham Carey in the first half of the 2-1 defeat.