Thaw frozen fruit, do not drain. Place raspberries in blender container. Cover and blend for till smooth. Transfer strained berries to medium sized mixing bowl.
Place cherries in blender and add apple juice concentrate. Cover and blend until smooth. Combine with berries in bowl. Freeze fruit mixture overnight.
When ready to serve, spoon 3/4 cup mixture into drinking cups (10-oz). Slowly pour in 4-oz of lemon-lime beverage to each cup. Stir and garnish with lime slice if desired.