POUR milk into large bowl. Add dry pudding mixes. Beat with wire whisk 2 min. or until well blended. Gently stir in 1 cup of the whipped topping.
BRUSH brownie with reserved raspberry syrup. Place half of the brownie cubes in 3-qt. serving bowl. Top with layers of half each of the pudding mixture, raspberries and remaining whipped topping. Repeat layers.
REFRIGERATE at least 1 hour before serving. Store leftover dessert in refrigerator.