So the call was made, the part numbers detailed, and here we are. The two types of grease can vary, but in general…
Toyota P/N: 90999-94214, black grease, may be labeled raremax UBZ. 260 gram tube.
This is for the inner joint (referred to as the tripod, or tulip joint).
Toyota P/N: 90999-94161, light brown grease, may be labeled raremax SLF. 232 gram tube.
This one is for the outer CV joint.
The reason for the different greases is that the different bearing in the joints have different shear values, and require different greases. The outer (CV) joint also has the harder plastic cover, mostly to put up with road debris, and not for any other reason.