Bake brownie mix according to package. Cool in pan and cut into little square pieces (about 1/2 inch) while still in the pan. Whisk together instant white chocolate pudding and milk until it begins to thicken. Fold 3/4 container of Cool Whip into pudding mixture. Gently fold in the Kahlua liqueur. Set aside.
Assemble into Trifle Bow. You will do this in three layers. Place 1/3 of the brownie squares over entire bottom of bowl. Spread 1/3 of the pudding mix over brownies. Sprinkle 1/3 package of Heath candy bits over layer of pudding. Repeat this two more times. Decorate top with dollops of remaining Cool Whip. Chill in refrigerator. Can be made the day before.