Brett Gardner reached the stands with a two-run homer off Rays starter Drew Smyly in the third, but Curt Casali answered for the Rays in the bottom half of the inning with a two-run homer off Eovaldi to put the Rays back up 3-2.
Steven Souza Jr. had an RBI single in the seventh and Tim Beckham followed with a two-run homer to extend the Rays' lead to 6-2. Chase Headley led off the eighth with a home run to cap the scoring for New York, which lost its third straight game.