Tampa Bay went up 3-1 during the fifth on Molina's third straight hit off C.J. Wilson, a two-run double. James Loney made it 5-1 with a two-run single in the sixth.
Molina entered 0 for 13 against Wilson.
Roberto Hernandez allowed three runs and eight hits in six innings. He left with two on and no outs in the seventh. Jake McGee entered and gave up a run-scoring grounder to Shuck and Aybar's two-run single that got the Angels within 5-4.
Wilson, who had gone 5-0 over his previous eight starts, gave up three runs, eight hits and five walks over five innings.
"We score runs and we've got a lot of guys that are hungry and want to do some damage in these last few weeks of the season," Wilson said. "Tampa Bay's on their way to playoffs, possibly, and if we can cause any disruptions, that's really the only thing we can do right now."
Mike Trout tied it at 1 in the fourth on his 23rd home run this season. It was his second homer in six at-bats against Hernandez, who struck out Trout with two on and two outs one inning later.
Molina put Tampa Bay up 1-0 on an RBI double in the second. Wilson avoided a big inning by getting an inning-ending bases-loaded fly ball from Ben Zobrist.
Tampa Bay's Wil Myers popped out with the bases loaded and two outs in the fourth.
Tampa Bay optioned struggling RHP Jeremy Hellickson to Class A Charlotte for extra rest. He is not expected to pitch in the minors and should rejoin the Rays early next month. ... Angels INF Howie Kendrick (left knee) continues running and taking grounders. "We definitely expect him to play this year," manager Mike Scioscia said. ... Wilson tripped running out to pitch in the second and fell to the ground between the third base line and the mound. ... Tampa Bay All-Star LHP Matt Moore (sore left elbow) will make his scheduled rehab start Thursday with Triple-A Durham. He could rejoin the rotation on Sept. 3. ... The Rays plan to recall RHP Jake Odorizzi from Durham to start Thursday against the Angels. LHP David Price will have his start pushed back one day to Friday at Oakland. ... Rays DH Luke Scott (lower back spasms) will join Durham for a rehab assignment Wednesday.
12,939 (38% full) - % is based on regular season capacity
Home Plate - Tim Timmons, First Base - Laz Diaz, Second Base - Mark Wegner, Third Base - Mike Winters
Mike Trout's fourth-inning home run in Tampa Bay was calculated at 458 feet, the longest home run at Tropicana Field this season. Trout has three home runs which have gone at least 450 feet this season, tied with Mike Napoli and Mark Trumbo for the most such home runs in the majors.