Preheat oven to 400 degrees F. Coat a large baking sheet with cooking spray.
Arrange wonton wrappers on prepared baking sheet and spray the surface with cooking spray. Sprinkle sugar over wontons. Bake 5 minutes, until golden brown. Remove wontons from oven and arrange 4 on a serving platter (or individual dessert dishes). Top each wonton with 2 tablespoons whipped topping and then 2 tablespoons berries. Top with second wonton wrapper. Repeat layers (whipped topping, berries, wonton wrapper). Sift confectioners' sugar over top layer. Serve immediately.