Encarnacion's blast with Jose Reyes aboard came in the first inning and handed the Blue Jays a quick 2-0 lead.
Lind and Rasmus each finished 2-for-4 with an RBI and Jose Bautista also drove in a run as the Blue Jays evened their two-game series.
Aaron Loup (4-3) tossed 1 1/3 scoreless relief innings to record the victory and Casey Janssen notched his 18th save for Toronto.
Orioles starter Jason Hammel (7-6) was roughed up for six runs on 10 hits over six innings.
Video of Victoria’s Secret models trying to 'twerk' hits Instagram
Wisconsin business offering 'therapeutic cuddling' forced to close