Your Acura TSX is equipped with an On-Board Diagnostics (OBD II). The OBD II
system monitors all aspects of your Acura's emissions system conditions and
reports information to the OBDII computer. The data is processed and checked
against the computer's pre-determined values for various inputs levels and
performance patterns of your vehicle. If any problems are found the computer
will determine whether to alert the driver or not.
Since your Acura TSX's battery had been recently been replaced, the
emissions monitors were erased from the OBD II computer. Setting the
emission monitors requires driving your car at least 200 miles; consisting
of everyday normal driving, stop and starts (like at red lights and
traffic), ignition on and off several times a day with at least 15 minute
pauses in between (this allows the EVAP monitor to run), and freeway driving
at least on three occasions for at least 15 minutes each at speeds above 30
mph.
 
After these driving conditions are met and your Acura still fails the OBD II
portion of the smog check, we can only recommend a smog check repair center
conduct a diagnosis of the OBD II computer as to clues of why the monitors
are not setting. Assuming no Check Engine light or Malfunction Indicator
Lamp is illuminated we have to suspect your vehicle's only problem is simply
not enough drive time yet.