The Tigers beat the Yankees and the seeds of that defeat for the Yankees were sown back in December of 2009 when as part of a three-team trade Curtis Granderson was traded to the Yankees.
Here's what I wrote about the trade at the time.
Granderson supporters will say their guy hit 43 HR. Big deal! For the record - Austin Jackson had a .856 OPS with 260 total bases while Granderson had an .811 OPS and 293 TB. Let me also add that Jackson is under team control until 2016 and by the way he had a .353 batting average against the Yankees in the Tigers sweep of the series.
I'd say the Tigers won the trade even if it was just Granderson for Jackson but the Tigers also got Phil Coke (who had 2 saves against New York) and Max Scherzer (who beat the Yankees in game 4).