Moore only allowed a solo home run to Jefry Marte and an RBI double to Andrelton Simmons over 6 2/3 innings to move to 5-5 on the season, earning his second straight win. Ryan Garton recorded the last two outs of the game to earn the save.
Morrison homered, singled in the go-ahead run and scored from first base on a double by Steven Souza Jr., that pushed the Rays' lead to 4-2.
Nick Tropeano started for the Angels and came away with a no-decision after allowing two runs on four hits in five innings.