Title sez 4l80e, actual body has 4l60e
Which are you trying to use?
I had a 700r4 in my car for a long time(20yrs or so) and used the factory shifter/ cable. We used a plate to adapter the rear mount to crossmember and an adapter to get the bell housing to the block. Worked until the thing started rattling so I went back to the 2004r.
I think the 2004r is a better trans than the 700r4 but not just anyone can assemble one that lasts.