PREPARE brownie batter and bake in 9-inch square pan as directed on package; cool completely.
MEANWHILE, beat pudding mixes and milk in medium bowl with whisk 2 min. Stir in 1 cup COOL WHIP. Refrigerate until ready to use.
CUT brownies into 1-inch cubes. Layer half each of the brownie cubes, pudding, berries and remaining COOL WHIP in 2-qt. bowl. Repeat layers.
REFRIGERATE 1 hour.