MBP A1707 Logic Board and Power Button with Touch ID replaced, but not working..

Was this repair performed by Apple or an Apple Authorized Service Provider? If so, then take the laptop back to have them make things right as you have a 90 day part/repair warranty.

The TouchID button is separate from the Touchbar strip and have nothing in common with one another.

For the TouchID fingerprint functionality to work, the TouchID button and the Logic Board must be paired.

With the 2016 & 2017 models, there is no way to pair them. Even an Apple Store and an Apple Authorized Service Provider have no way of paring them since Apple provides the replacement parts to the AASP as a set already paired. Even with the 2018+ models, there is no way for an end user to pair a Logic Board and TouchID button as it requires an Apple service utility and the part serial numbers for each of those parts must already be on file with Apple which is only possible when Apple provides the parts to an AASP. Even then, a TouchID button cannot be re-paired with another Logic Board.

The TouchID will function as a power on button even if not properly paired. Only the fingerprint recognition feature will not be available if not properly paired.

If you are having issues with the Touchbar strip, then maybe the Touchbar cables are not fully seated to the Logic Board (they can be tricky to seat correctly). Or perhaps one of the Touchbar cables was damaged during the repair. Or maybe, the Logic Board is bad. Usually if the touch functionality of the Touchbar is not registering, then it usually means the Touchbar itself is bad. FYI, there are two Touchbar cables.