BEAT milk and dry pudding mixes in large bowl with wire whisk 2 min. or until blended. Gently stir in 1 cup of the whipped topping.
PLACE half of the brownies in 2-qt. serving bowl; top with layers of half each of the pudding mixture, remaining whipped topping and raspberries. Repeat all layers.
REFRIGERATE at least 1 hour. Store leftovers in refrigerator.