Step 1

Preheat oven to 350°. Lightly coat an 8x8" baking dish with nonstick spray and line with parchment paper, leaving a 2" overhang on all sides. Whisk all-purpose flour, whole wheat flour, baking powder, cinnamon, ginger, salt, allspice, nutmeg, and cloves in a large bowl.

Step 2

Whisk eggs, pumpkin, brown sugar, and oil in another large bowl until smooth. Mix in dry ingredients. Scrape batter into prepared baking dish; smooth top.

Step 3

Bake cake until edges begin to pull away from sides of dish and a tester inserted into the center comes out clean, 30–35 minutes. Let cool.

Step 4

Using an electric mixer on medium-high speed, beat cream cheese and butter in a medium bowl just to combine. Reduce speed to low and gradually add sugar, then maple syrup and salt; beat until smooth. Spread frosting over top of cooled cake.