Sanchez launched a two-run shot in the third inning off Drew VerHagen and Carter added a solo shot in the fourth. Sanchez hit 20 homers in 53 games last year, while Carter tied for the National League lead with 41 homers as a member of the Brewers.
Ruben Tejada stroked a RBI single in the fourth inning while Starlin Castro, Chase Headley and Clint Frazier all drove in runs during a four-run New York fifth.
Tanaka looked sharp as he begins to gear up for his third consecutive Opening Day assignment.