Andino followed by slicing a 3-2 pitch down the right field line and into the corner, allowing all three runners to score and allow the Orioles to go up 2-0 in a four-game series.
Willie Eyre (2-1) earned the victory by inducing the final two outs of the seventh inning and Jim Johnson tossed a 1-2-3 ninth for his eighth save.
Adrian Gonzalez went 3-for-5 with a two-run homer, driving in three runs in all for American League wild card-leading Red Sox.
Boston reduced its magic number to clinch a playoff spot to seven despite the setback, thanks to Tampa Bay's loss to the New York Yankees Tuesday.
Boston remains two games ahead of the Rays with seven games remaining.
Celebrity Breakups and divorces of 2014 [PHOTOS]