After winning 22 badges in Pocket Mortys Bluu will ask you to make a small donation to his robot army. You need to craft and give him a Robot using spare junk to receive his reward and complete The Ricktatorship side quest. You can learn how to craft a Robot using our Pocket Mortys Recipe Guide.
After winning 18 badges Jerry will ask you to help him put the romance back in his marriage. You can create a Love Potion for him by using the crafting recipe listed here. Jerry will give you a Mr. Meeseeks Box in return for helping him.
After winning 16 badges Dandy Rick will ask you for more fuel for his car. You need to craft and give him a Dark Matter Ball to help him out. You can look up the crafting recipes for a Dark Matter Ball here. It requires that you craft a Dark Energy Ball first.