727 Identification - Help - 68 Barracuda 340 Block

I am Re-doing a 1968 Plymouth Barracuda Convertible with a Mild 340 V-8 Automatic … I am needing advice decoding a 727 Tranny that I just acquired to identify if I truly got what I am needing ( a small block 727 ) … the numbers on the side of the tranny case are : # 8933000918 … # 7899 … # 1382 … # 4202577-2 … unfortunately it currently has a 4x4 tail piece on it, it was rebuilt for a Jeep CJ? and it was never installed or used.

I would really appreciate any additional info on any other adaptation that I need to do since I am currently searching for an A-Body 8 3/4” Rear End and I think I need to get a modified yoke and / or driveshaft possibly ?