Moore (17-4) allowed three runs on six hits, issuing three walks while striking out four in the season finale for the Rays (91-71), who entered the crucial contest one game behind Cleveland atop the American League wild card standings.
Jose Lobaton highlighted a six-run first inning with a two-run double, but the Rays had to survive a near-total bullpen meltdown to finish the regular season with eight win in 10 games.
Fernando Rodney (4-3) was credited with the win after fanning Moises Sierra to end Toronto's comeback try in the eighth.
Todd Richmond (4-3) absorbed the loss for the Blue Jays (74-88), surrendering five runs on four hits before being lifted in the first inning.
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