Mix cake mix, eggs, butter, and 1 cup milk well in a large bowl. Pour into a 9x13" Pyrex dish and bake according to package directions. Let cool.
Take the back of a wooden spoon and poke holes about every 2" in the cake. Make sure the holes go all the way to the bottom of the dish.
Whisk together 4 cups milk and banana pudding mix.
Pour 3/4 of the pudding mix into the holes of the cake. Push the pudding into the holes with your wooden spoon.
Place cake in the fridge to set for about an hour.
Meanwhile, beat remaining pudding mix and cream cheese frosting together.
Pour frosting mixture over top of cooled cake and spread.
Top with sliced bananas and strawberries. Serve immediately.