I use an NLGI 2 extreme pressure (EP) molybdenum containing grease. This is likely overkill for the home shop service but it works well for anti-wear and is compounded for anti-rust and oxidation resistance too. Plus I already had some on the shelf in the garage.?
I made a transparent cover for the gearbox out of 1/4 inch Plexiglas to view the system. The grease film adheres well to the gears mating surfaces which is what is needed for lubrication. There is minimal temperature increase with run time meaning a low friction system.
The drive belt is a link belt - it feels tight to finger pressure but can be deflected by perhaps 1/2 inch. I don't worry too much about this as the belt doesn't slip, doesn't vibrate and the pulleys are in alignment.?