There are many different formulations that may or may not be compatible with one another if mixed. Best to clean out the old and replace with new unless your certain of what is in there.
Someone said they are all lithium based with moly. That is not true. Lithium base with moly is a common aftermarket grease that is supplied with replacement boots for Rzeppa joints commonly used on outboard joints in automotive applications - probably because it's cheap.
It's hard to find information on what a given manufacturer uses as OEM grease, but many use a polyurea based grease with moly (if Rzeppa) or without moly (if tripod). Some modern polyurea greases claim to be compatible with the typical aftermarket lithium based CV greases, but historically the two have been considered incompatible.
There are other formulations. Redline's CV-2 is a calcium based grease, and SWEPCO's 101 is a clay based grease just for a couple of popular examples.
Bottom line is that it's definitely safest to clean out and replace the old grease entirely.
AM.