Daisuke Matsuzaka and John Lannan each pitched two innings and both allowed two earned runs.
The Mets made a number of mental and throwing errors, as well as key fielding errors by Ruben Tejada and Daniel Murphy.
Mets LHP prospect Steven Matz let two runners reach base, then struck out three in a row to end his inning.
Anthony Recker and Andrew Brown each hit a solo home run.
Wilmer Flores had an RBI single.
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The Mets and Noah Syndergaard face the Tigers in Lakeland on Saturday at 1:05 p.m.