Thanks for all the advice.
OK, so here's my plan for lubing the new axle drive assembly: every time I sharpen the blade, I'm going to remove the cover from the axle gear housing, clean the gears and bearings thoroughly with solvent, let them dry, and then use 00 oil or Lubriplate 105 on them. I think it was the worn bearing on the pinion gear (input shaft) that caused the gears to wear, so I am going to be especially careful to clean and lube that bearing.
Incidentally, I'm wondering if chainsaw bar oil might also be a good lube for these gears. It's specially formulated to prevent being thrown off, isn't it?