The doubleheader was made necessary when then opener of the four-game series was postponed by rain on Thursday.
Chris Tillman (2-5) was charged with one run on three hits and two walks while fanning seven to earn the victory.
The Orioles didn't record a hit in the first three innings, then batted around in the fourth. A bunt single, walk and hit batter loaded the bases for Pie, who knocked in Corey Patterson with a single and came around on Jones' bases- clearing two-bagger. After Bonderman plunked Robert Andino, Tatum chased home both runners with a double for a 6-1 game.
Don Kelly's leadoff homer in the second frame was Detroit's only run until a four-run eighth.
In that frame, Ryan Raburn walked with the bases loaded to force in a run, and Kelly followed with an RBI single. Matt Albers relieved Mark Hendrickson and gave up a fielder's choice to Jhonny Peralta that plated Will Rhymes. Brennan Boesch added an RBI single before Albers got out of the frame.
Tatum singled up the middle to bring home Jones in the bottom half, and Johnny Damon added an RBI hit of his own in the ninth.
Tillman picked up his first win since July 10. He threw 70 of his 102 pitches for strikes...Jones has 69 RBI, one off his career-high from 2009...Rhymes had three of Detroit's nine hits.