Ok so lets establish a few things… The all caps words are the important terms.
The back of the transmission is called a TAILSHAFT. Inside the tailshaft is a bushing. When you shove the yoke of the driveshaft into the transmission tailshaft, it rides on the tailshaft BUSHING. Then there is a tailshaft SEAL. This seal has an orange lip in ur photo. This seal is what rides against the outside of the driveshaft yoke and keeps the transmission fluid from coming out the tailshaft. Now that we have that established…
It’s clear that your SEAL is leaking. Now unless the seal is really old they usually just dont start leaking. It usually takes something going bad on the driveshaft to throw the driveshaft out of balanance. When the driveshaft is out of balance the yoke will not spin in a straight line as intended, it will have a slight wobble to it. When it wobbles it will wear out this seal and you will leak out of the back of the trans as shown in your pic.
Now… if lets say your bad guibo has been there for a little while and your driveshaft yoke has been wobbling inside the tailshaft. At some point this will weal out the tailshaft BUSHING. If the bushing wears out, no matter how many times you replace the SEAL it will still leak as the BUSHING is letting the yoke wobble now.
You need to address a few things.
A new GUIBO is #1.
If your CENTER CARRIER BEARING on the DRIVESHAFT (the thin rubber piece that holds the joint where the 2 pieces of the driveshaft are supported under the car) is ripped, or completely torn, the driveshaft will wobble even more and wear out the seal and or bushing super quick. Unfortunately replacing the center carrier bearing is pretty challenging and has to be done correct or the driveshaft will always vibrate no matter what.
For reference here is my torn center carrier bearing on my stock gto driveshaft from back in the day. See the tear? When this happened it completely wore out my tailshaft SEAL but i caught it before i wore out my tailshaft BUSHING.
View attachment 147254
Sounds like you need a new center carrier bearing, guibo, tailshaft bushing and tailshaft seal.
Again, i would think about buying a new driveshaft. Or look for a good condition used stock driveshaft.