The Texans' Matt Leinart threw for 78 yards on 8-of-14 passing and found Ogbonnaya on a second-quarter TD toss in the exhibition pre-season opener for both teams.
Matt Schaub started the game behind center, completing 2-of-5 passes for 20 yards, and Neil Rackers booted a pair of field goals for the Texans.
Rookie quarterback Greg McElroy played most of the game for New York, going 23-of-39 for 208 yards and a score in his professional debut.
Mark Sanchez was 6-of-7 for 43 yards in the first quarter and Patrick Turner caught six passes for 32 yards and a TD for New York.
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