Arrange cake slices in single layer on bottom of 13x9-inch pan, cutting as necessary to fit.
Drizzle with juice cocktail; top with raspberries, separating berries as needed to form even layer.
Sprinkle with sugar.
Beat pudding mixes and milk in large bowl with whisk 2 min. Stir in 1 cup COOL WHIP; pour over raspberries. Carefully spread remaining COOL WHIP over top of dessert.