Greinke (14-6) lasted just four innings, his shortest stint of the season, and as a result, the D-backs were forced to make a pair of roster moves following the game to try to get through Sunday's series finale.
Relievers J.J. Hoover and Silvino Bracho, both of whom were forced into action Saturday, were optioned to Triple-A Reno.
The D-backs are planning on starting reliever T.J. McFarland on Sunday, but he can throw a maximum of about 60 pitches, meaning there will be a number of innings that need to be covered. With Hoover and Bracho already having thrown multiple innings Saturday, the team will recall Braden Shipley from Triple-A Reno.
Shipley, a starter in the Minors, can give them some length, but they are also planning on adding another pitcher from the Minors before Sunday's game who can deliver multiple innings.
"T.J. has thrown the ball pretty good -- well, he's thrown the ball very well for us," D-backs manager Torey Lovullo said on why McFarland got the nod over Shipley. "We just feel like his ability to get easy outs and work both sides of the plate and maybe turn some of these switch-hitters around. Braden is ready. I know he's eager to get in there if needed."
Eager was something the Twins hitters were not when they faced Greinke. They were just the opposite -- patient.
They forced Greinke to throw 30 pitches in the first inning, drawing a pair of walks and immediately setting a tone for the evening.
"I would think I would be really gassed, but never really felt too fatigued from it," Greinke said. "But they kept getting more guys on base so either I wasn't making good enough pitches or stuff wasn't as sharp after throwing a lot of pitches, I don't know. But I felt surprisingly OK for how many pitches I threw in that inning."
Greinke threw even more, 39 to be exact, in the fourth when Minnesota scored all five of its runs and sent nine men to the plate.
Coming into the game, Greinke was 8-1 with a 2.48 ERA in 10 starts following a D-backs loss.
"The Twins did a good job laying off some quality pitches just off the edges of the plate," Lovullo said. "Those are things I get little snapshots of. I haven't had a chance to review the game. I think, all in all, he got wore down by a pretty good offensive approach."