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Joe Mixon has the most career total touchdowns by an active Texans player versus the Jets, with 4 touchdowns.

active texans players with the most career touchdowns vs jets
MixonTaylorOgunbowaleJordan4211
NAMETDGPRUSH TDREC TDRET TDFGMXPMXP2SFTYPTSPPG
Joe MixonJoe Mixon443100000246.0
J.J. TaylorJ.J. Taylor242000000123.0
Dare OgunbowaleDare Ogunbowale13100000062.0
Brevin JordanBrevin Jordan12010000063.0
StatMuse has game-level data for touchdowns going back to the 1950 season.

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