Yankees right-hander Adam Warren pitched two scoreless, hitless innings in the start. Warren, who made one big league appearance for New York last season, walked none and struck out two with a hit batsman.
"For me, I'm just trying to get better, get into that rhythm of pitching and just try to show I can pitch at this level," Warren said. "That's the big thing for me, to get comfortable early and try to stay that way."
Toronto opened the scoring in the third inning, as Anthony Gose ripped a deep two-out triple to center field off right-hander Cody Eppley. Emilio Bonifacio followed with a single up the middle to push the run home. The Blue Jays tacked on another run in the eighth on Sean Ochinko's RBI double.
Happ, who is competing for a long relief job, turned in two scoreless innings around three singles, striking out one. Brett Cecil, Justin Germano and Claudio Vargas each also threw two shutout innings.
"The first inning, I was rushing a little bit, and not quite getting the extension I needed," Happ said. "Going out for that second inning, I felt much better. I was taking my body toward home instead of first there."
The contest marked the Yankees' home exhibition opener at Steinbrenner Field, the club's spring home since 1996. Pregame ceremonies featured a flyover by a Coast Guard C-130 and two Blackhawk helicopters.
Up next for the Yankees: The Yankees travel to Sarasota, Fla. on Monday for a 1:05 p.m. ET exhibition against the Baltimore Orioles, live on MLB.TV. Left-hander Vidal Nuno will start for New York against left-hander Brian Matusz. The Yankees' outfield will feature Brett Gardner in the contest.
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.