If you don't mind me asking, what grips did you get? I've got a Taurus M44 (same gun, basically, as yours) and the factory grip feels wrong somehow. I tried a cheap Houge monogrip, but it felt even worse and did not fit tightly, to boot. So I've got the original grips back on. They are bad enough I don't care to shoot the gun much.
It was the Hogue Monogrip that was specifically listed for the Taurus Tracker model.
It fits the weapon handle perfectly.
I still have the packaging that it came in. On the back side it states:
this grip fits: Taurus Tracker
Model #’s:
415, 425, 450, 606, 445, 617, 627, 817, 970, 971, etc.
It doesn’t state anywhere that this particular grip is suitable for the M44 model.
If I recall correctly when I was ordering the grip, there were a number of different grips for particular types of pistols.