Prepare puddings separately according to directions. Blend 2 cups of cool whip in each. Crush package of Oreo cookies reserving a small amount to top your dessert. Add equal amounts of crushed cookies to the puddings.
In a large bowl layer chocolate pudding, vanilla pudding, and another layer of chocolate pudding. Top with remaining crushed Oreo cookies. Refrigerate until serving.
Option: You could splurge by adding a layer of crushed Oreo's between the layers of the dessert. I usually buy another package of cookies to do this. Although, you could just adjust the amount that You add to the pudding. Awesome!