1 Preheat oven to 375 degrees F (190 degrees C). Grease and flour two 9 inch round cake pans.
2 Make pudding according to package directions using the milk. Set aside 2 tablespoons of pudding and place the rest in the refrigerator. When chilled, pull the pudding out of the refrigerator, and stir in the pineapple.
3 In a large bowl, cream together the shortening and sugar, continue to mix with an electric mixer on medium speed for 15 minutes. Stir in the reserved 2 tablespoons of vanilla pudding. Beat in the eggs one at a time, mixing well after each addition.
4 In another bowl, sift together cake flour, baking powder, and salt. Add these dry ingredients to the creamed mixture alternately with 1 cup milk, blending well after each addition. Divide the batter evenly between the prepared pans.
5 Bake for approximately 20 to 25 minutes, or until the top springs back when lightly pressed. Set the pans on a wire rack to cool. Remove the layers from the pans.
6 Once the cake layers have thoroughly cooled, spread the pudding mixture on top of one of the layers (spread mixture to desired thickness – there may be some left over). Place the second layer on top of the filling. Frost the cake with the whipped topping. Refrigerate the cake until serving time.