Prepare cake batter according to package directions. Beat in oranges until blended. Pour into two greased and floured 9-in. round baking pans.
Bake at 350° for 25-30 minutes or until a toothpick inserted in the center comes out clean. Cool for 10 minutes before removing from pans to wire racks to cool completely.
Combine pineapple and dry pudding mix; fold in whipped topping. Spread between layers and over top and sides of cake. Store in the refrigerator.
