A Moon Ball works better on Pokémon that evolve with a Moon Stone. This includes Clefairy, Jigglypuff, Nidorino, and Nidorina. The moon ball has a catch rate of x4 on Clefairy, Jigglypuff, Nidorino, and Nidorina.
To craft an Moon Ball Lid, you'll need 1 blue cooked Apricorn. 1 yellow cooked Apricorn and 1 black cooked Apricorn. Place the 3 cooked Apricorns in a row horizontally in a crafting bench in that order, obtain the disc, and then use the anvil to make it into the Moon Ball lid.