Each stage in Battle Bouncers has a turn counter seen at the top right of your screen while in the stage. The less turns you take to complete each stage the better your rating will be up to a max of 3 stars.
These stars are used to unlock Heroic Mode progression and autobattle the 3 star stage! Once you hit a total of 100 stars in the normal campaign you'll be able to enter Heroic Mode and begin a brand new challenge!