Drummond was given the foul after shoving Giannis Antetokounmpo on a layup attempt in the third quarter with the Bucks ahead 95-54. The two-handed push occurred after Antetokounmpo grabbed an offensive rebound.
Luke Kennard paced the Pistons with 21 points off the bench and Drummond had 12 points and 12 rebounds. A big reason for their inconsistent play late in the season was the knee injury that limited star forward Blake Griffin and kept him out of their final game of the season. Griffin, who had played his most regular season games (75) since 2013-14, enjoyed a career campaign while snapping a four-year absence from the All-Star Game.
The Bucks were without guards Malcolm Brogdon (foot) and Tony Snell (ankle).
Milwaukee, which swept the four-game season series, led 20-4 less than five minutes into the game.
SLIDESHOW: Australian Superstar Winx Caps Storybook Career at Royal Randwick
Tighe could be excused for letting the emotion of the moment get to him after the race but there was a real symmetry about Winx's farewell win.
Antetokounmpo was only five of 12 on free throws and one of five from 3-point range, but was nine for 17 from the field. IN scored 29 points in the second half, and the quarter and half were both its worst of the season.
It only got worse for the Pistons in the second half. George Hill scored 16 points off the bench.
Jayson Tatum finished with 15 points.
Griffin was issued a technical foul for protesting Drummond's ejection.
Milwaukee: F Nikola Mirotic played 15 minutes while scoring four points on 2-of-8 shooting.
"Goldberg NBCA Coach of the Year Award for the top NBA Coach as voted by his peers is one of the most meaningful in all of pro sports", said Rick Carlisle in his statement to the press.