So if I understand when you record the audio coming from the TI it is not in sync with the MIDI. It is off by a certain amount is that correct?
If so this should not be the case, but you can use nudge to move it into sync. I would think that somehow the plugin is causing the delay. Try turning it off when you are recording.
Also just to be sure where are you getting the audio from. Is it the MOTU or the TI USB? If its the USB use the MOTU. Though after rereading one of your more informative posts I don't think this is the problem.
I use hardware synths a lot and have never had a sync problem.