Preheat oven to 350° F. Grease a 9x13 inch baking pan with non-stick spray. Set aside.

In a large bowl, add eggs, granulated sugar, vegetable oil, apple sauce and pumpkin puree. Stir with a whisk until thoroughly combined. (No need for an electric mixer!)

In a small bowl, combine flour, baking powder, baking soda, cinnamon, pumpkin pie spice and salt. Stir with a clean whisk to sift and combine.

Gradually add the flour mixture to wet mixture, just until combined. Batter will be thick. Pour batter into the prepared baking pan.

Bake cake for 28 to 30 minutes, or until toothpick inserted in center comes out clean. Cool cake completely before frosting.

In a large bowl, add cream cheese, butter and vanilla. Beat with an electric hand-mixer on medium speed until well combined. Gradually blend in powdered sugar. Frost cake with frosting and serve!