The Reds infield prospect singled twice and drove in three runs as the Phoenix Desert Dogs pushed the Mesa Solar Sox to the brink of elimination for a playoff spot an 8-2 victory.
The loss dropped Mesa (16-17) four games behind first-place Salt River (20-13), which clinched the East Division title on Saturday night with a 7-3 triumph over Peoria.
Greene staked Phoenix to a 1-0 lead in the first inning when his infield hit scored Blue Jays outfielder Anthony Gose. He singled up the middle and stole second but was stranded in scoring position in the third.
After grounding out in the fifth, the 2010 fourth-round Draft pick padded the Desert Dogs' lead an inning later with a two-out bases-loaded single.
Greene is hitting .301 with three homers and 13 RBis in 19 AFL games. The Texas A&M product batted .287 with 14 homers, 81 RBIs and 38 stolen bases in 131 games between Class A Advanced Bakersfield and Double-A Carolina during the regular season.
Indians catching prospect Roberto Perez hit a two-run homer and scored twice, while Yankees outfielder Rob Segedin doubled twice, walked and scored a run for Phoenix.
The support was more than enough for starter David Phelps (2-2), who allowed a run and scattered seven hits over 4 1/3 innings. The Yankees' No. 8 prospect walked one and struck out four in his seventh AFL start.
Pirates right-hander Gerrit Cole, the No. 1 overall pick in this year's Draft, bounced back from a rough outing in last weekend's Rising Stars Game. He gave up a run on two hits while fanning four over three frames. Cubs southpaw Jeff Beliveau (0-1) took the loss after surrendering three runs on three hits in one inning.
Orioles prospect Joe Mahoney went 2-for-4 with an RBI double to extend his hitting streak to 10 games for the Solar Sox. Aaron Hicks, the Twins' No. 1 prospect, also had a pair of hits out of the No. 9 spot in the lineup.
Ashley Marshall is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.