The White Sox scored five runs against right-hander Phil Hughes in the third, and Gardenhire didn't seem pleased with Reyburn's strike zone.
It was the second time this season that Gardenhire has been ejected, and the 69th time in his career.
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.