Garcia allowed three hits and struck out one. He worked out of a bases-loaded, one-out jam in the first.
"I just want to get more consistent with my fastball and get stronger," said Garcia, who led the American League in innings pitched and ERA in 2001. "I just have to show (the Mets) I can pitch."
The Mets, looking to bolster their staff, completed a $2.25 million, one-year deal with Redding and secured Garcia with a minor league contract in January.
Redding, one of Garcia's competitors for the fifth spot, was hit hard. He recorded just one out and was charged with five runs and five hits.
"I'm upset that I didn't execute the pitches," said Redding, who was 10-11 with a 4.95 ERA for Washington last year. "The biggest positive to build on is that I'm pain-free.
"All I know is I felt good."
Rob Mackowiak hit a three-run homer and finished with six RBIs for New York.
Mike Dufek homered twice and Nick Urban also went deep for the Wolverines.
Notes: Mets OF Angel Pagan (swollen right elbow) was sent to New York for an MRI. ... Former Mets reliever John Franco was in camp working with minor league and major league pitchers. The left-hander, who retired in 2005, is in his first year as an ambassador for the organization.
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