Recon shaft fluid?

I did a tear down of the rear end on my recon due to bearings starting to growl and just going to throw a couple bearing and seal kits at it.

When I removed the diff housing from the swingarm, a palm full of oil came out of the shaft. Now I know it runs in oil, but how to refill fill it? How much do I put in and does it used the same hypoid oil as the rear diff?

Thanks for any advice or thoughts.