Preheat Oven: Preheat your oven to 350°F (175°C). Line a 9×13 inch sheet pan with parchment paper or lightly grease it.
Mix Wet Ingredients: In a large bowl, whisk together the pumpkin puree, eggs, granulated sugar, brown sugar, applesauce, and vanilla extract until smooth.
Combine Dry Ingredients: In a separate bowl, sift together the flour, baking powder, baking soda, salt, cinnamon, ginger, cloves, and nutmeg.
Combine Mixtures: Gradually add the dry ingredients to the wet ingredients, stirring until just combined.
Pour Batter: Spread the batter evenly in the prepared sheet pan.
Bake: Bake in the preheated oven for 20-25 minutes, or until a toothpick inserted into the center comes out clean.
Cool & Cut: Let the bars cool in the pan on a wire rack before cutting into squares.