Rasmus drove in the game's initial run with a first-inning double and added his two-run blast in the fifth for the Blue Jays, who completed a sweep of the three-game series at Rogers Center.
His production backed a solid outing on the mound from Brett Cecil (1-0), who was called up from Class AAA Las Vegas before the game. The left-hander held the Phillies to two runs on five hits in a five-inning effort.
Philadelphia's Kyle Kendrick (2-7) was roughed up for six runs (five earned) on eight hits over 6 1/3 frames.
Boston schools pull out free condoms over wrapping complaints
NBC reportedly holds celebs hostage to Jimmy Fallon's show