Compound Hunting Bows are unique in that they use mechanical advantage of pulleys and mechanical cams to reduce the hold strength versus a conventional recurve Bow we all grew up with.
Point being these pulleys run on bearings that need to be lubricated and done so without over lubricating, keeping the lube where you put it and not to give off any odor that Deer and such can smell from a long way, or as you get closer to that Boar you have been stalking for hours.
Items you want to try here are the Gun Snot Liquid Lube as it is very thick and has minimal migration. the expression 'Dots not Lots' definitely applies here. Point being Gun Snot is a highly effective lube so you do not need a lot. the other item that you want to look at is the Gun Snot Aerosol. Versus the liquid, the Aerosol has some Teflon in it to make a very thin and uniform paste coat for the bearing to run on. It is also odor free..
As usual, use brake cleaner (red can) to prep the pulleys and rollers so you get the old grease out of there that might have polymerized or is just a dirt magnet. Then apply either the Liquid or the Aerosol. Do a few pulls and see where your dots are working and add or wipe off excess as needed through trial and error. Less is more.
So prep the pulleys before using with the Liquid or the Aerosol that is thinner than Conventional Gun Snot Paste. The key words here are "Dots not Lots". Apply the lubes as dots on the pulleys, but not Lots of lube - you do not need a lot to be effective in lubing a pulley. It will smooth it out as you use it. If the Liquid is too thick for you - you can thin it out with the Aerosol.