Valaika gave Miami another run in the third on a solo blast off Correia. Correia, making his fifth Grapefruit League start, gave up five runs on five hits and two walks over four innings to see his spring ERA increase to 6.46.
"It just went awry there for a few hitters," Correia said. "That was about it. Luckily, I was eventually able to work my way out of there."
Yelich, the No. 13 overall prospect according to MLB.com, later blasted a solo homer of his own off Twins reliever Tim Wood in the fifth. The homer ended up in the pond about 100 feet past the fence in right field.
"It was a hanging slider, and I caught it good," Yelich said. "I don't feel super locked in. I felt pretty good today, but it's Spring Training, so it still comes and goes. Today, I felt pretty good. It started off good, he made some good pitches in my second at-bat, and I caught him on the third one."
The Twins scored twice off Marlins right-hander Nathan Eovaldi in the first inning. Aaron Hicks drew a leadoff walk before Brian Dozier launched a two-run blast. It was the first homer of the spring for Dozier.
Twins catcher Joe Mauer also made his return after playing for Team USA in the World Baseball Classic and went 2-for-3 with two singles.
Up next: The Marlins return to the east coast of Florida on Tuesday to play the St. Louis Cardinals at 1:05 p.m. ET for the sixth time this spring, available on MLB.TV. Jacob Turner, competing for a spot in the Marlins' rotation, will make what manager Mike Redmond calls "a big start," his third outing of the spring. He will face Cardinals pitching prospect Shelby Miller.
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.