Mix together limeade, apple juice concentrate, and strawberry watermelon juice in a pitcher or large mixing bowl. Pour mixture into an ice cream machine and run according to manufacturer’s instructions 8 minutes or until slushy. Drop in pink and purple food coloring and run machine 1 more minute.
In a blender, blend together lime sherbet and lemon-lime soda.
Set aside half of the pink limeade mix, and divide the other half evenly into the bottoms of two tall drinking glasses. Divide green sherbet mix evenly and layer on top of the pink mix in the glasses, then layer on the remaining pink mix. Top with popping pearls and add large gauge straws.
