Sorry for the not matching rebuild link, it should be only to imagine how the shift motor looks inside.
I know you have a BW4405 with two sensors, and your TC case looks different.
The newer shift endposition switches are not serviceable, they work or not.
That you can turn the shaft freely is good, but i do not understand (sorry) what is the momentary status.
You have a dash switch with "Automatic" "4high" "4low" ?
You put in a new Power Control Modul and now the shift motor works?
If you put the dash switch to automatic the shift motor should run in that position that the alignment
of the triangular shaft and its female opposite should match exactly.
Maybe not 100% exactly, but you can rotate the shift motor housing a little bit to match the 3 bolts.
(I have rebuild 3 of the BW4405 and in every case the shift motor fit to the shaft.)
View attachment 460672
If the shift motor didn't go in its matching position (if dash switch is on automatic), maybe the position switch is not assembled
correctly, gives wrong informaton to the Power Control Modul which controls the motor.
With the shift motor installed? I do not get that, sorry for my misunderstanding.