For the Cake:

1. Preheat your oven to 350°F (175°C) and grease a 9×13-inch baking pan.
2. In a large bowl, whisk together the flour, sugar, baking powder, baking soda, salt, and spices (cinnamon, ginger, nutmeg, cloves).
3. In a separate bowl, mix together the pumpkin puree, vegetable oil, applesauce, eggs, and vanilla extract.
4. Gradually add the wet ingredients to the dry ingredients, stirring until well combined.
5. Pour the batter into the prepared baking pan and smooth the top.
6. Bake for 30-35 minutes or until a toothpick inserted into the center comes out clean. Allow the cake to cool completely before frosting.

For the Cream Cheese Frosting:

1. In a mixing bowl, beat together the softened cream cheese and butter until smooth and creamy.
2. Add the powdered sugar, one cup at a time, and continue beating until well incorporated.
3. Stir in the vanilla extract and beat the mixture until light and fluffy.

Assembling the Pumpkin Pie Cake:

1. Once the cake has cooled, spread the cream cheese frosting evenly over the top.
2. Optionally, sprinkle chopped pecans or walnuts on top for added texture.
3. For a finishing touch, drizzle caramel sauce over the cake.
4. Slice and serve, savoring each bite of this delightful pumpkin-infused creation.

With its rich autumnal flavors and irresistible creaminess, the Pumpkin Pie Cake is a perfect addition to your fall dessert repertoire. Whether shared at family gatherings or enjoyed with a cozy mug of hot cider, this delectable treat captures the spirit of the season in every bite. So, gather your ingredients, preheat the oven, and embark on a baking adventure that will fill your home with the comforting aroma of fall.