The former Red Wing's first goal came on a power play midway through the frame and broke a 1-1 tie. His second tally happened 15:49 into the period when he buried a wrist shot past Jimmy Howard for a 3-1 advantage.
Dave Bolland and Troy Brouwer also scored and Corey Crawford stopped 36-of-37 shots for Chicago, which won for the fourth time in five games on Detroit's home ice this season and raised its record to 5-0-1 in its last six games.
The shorthanded Red Wings came into the game without Pavel Datsyuk, Tomas Holmstrom, Dan Cleary, Brad Stuart and Mike Modano, then lost Valtteri Filppula before the contest with the flu.
Cory Emmerton netted Detroit's only goal and Howard ended with 29 saves for the Wings.
Celebrity Families of 2014 [PHOTOS]