Both of those home runs were over the JetBlue Park Green Monster and came in the bottom of the fourth inning against righty Miguel Gonzalez.
"I think what we're seeing in the last seven to 10 days is their comfort, timing and confidence in the box really playing out," said Red Sox manager John Farrell.
In five innings of work, Gonzalez gave up seven hits and four runs. He walked two and struck out two.
With Jon Lester pitching in a Minor League game, prospect Allen Webster made the start for Boston. The right-hander gave up 11 hits and five runs over 5 2/3 innings. Webster walked two and struck out three.
Up next: John Lackey will make his final tuneup of Spring Training in Thursday's 7:05 p.m. ET contest against the Twins (listen on Gameday Audio). Key relievers Burke Badenhop, Junichi Tazawa, Koji Uehara and Edward Mujica could all see action. Grady Sizemore will play center field for the third straight day.