Grease a 9x13 pan and line it with parchment paper.
In a medium bowl, whisk together the 2 cups oat flour, ½ cup almond flour, 2 teaspoons baking powder, 1 teaspoon baking soda, 1 teaspoon fine sea salt, 2 teaspoons ground cinnamon, ¾ teaspoon ground ginger, and ½ teaspoon ground nutmeg.
In a large bowl whisk together the 1 15-ounce can pure pumpkin puree, 3 large eggs1 cup oil, ¾ cup granulated sugar, ¾ cup brown sugar, and 3 tablespoons maple syrup until combined. Add the dry ingredients and stir until completely combined, then whisk it for about 30 seconds.
Spread the batter evenly in the prepared pan, using an offset spatula to smooth the top. Heat the oven to 350℉ and rest the batter while the oven heats. Bake the cake until set and a tester inserted in the center comes out clean, about 1 hour.
Cool the cake completely in the pan, then cover it and place it in the fridge to chill while you make the frosting.
Make the Frosting
In a large bowl or bowl of a stand mixer, use a hand mixer or stand mixer on low speed to cream the 8 ounces cream cheese, and 8 tablespoons unsalted butter, together until smooth, and creamy, about 3 minutes.
Gradually sift in the 4 cups confectioners’ sugar and mix on low until combined
Assemble
Dollop the frosting over the bars and use an offset spatula to spread it evenly over the entire surface.* Bars will slice best if chilled; place the pan in the refrigerator for 1 hour before slicing. Slice the bars and serve. Bars will keep for several days stored in the refrigerator in an airtight container.
Notes
Use room temperature ingredients: Bring ingredients to room temperature before using. This will help them seamlessly blend into the batter. This is especially important when making the cream cheese frosting - the cream cheese should be very soft so the finished frosting is beautifully smooth.
To make vegan: Substitute three flax eggs for the eggs. Use your preferred vegan butter substitute and cream cheese substitute in the frosting.
Swap gluten free flour: Easily use a gluten free all-purpose flour blend - try my homemade gluten free flour blend! - in place of the combination of oat and almond flours.
Use pumpkin pie spice: Swap 2 ¼ teaspoons of pumpkin pie spice for the combination of spices in the batter if you have this spice blend handy.
Add a sprinkle of spice: Sprinkle a bit of cinnamon - or ginger, cardamom, or pumpkin pie spice blend - over the top of the frosting for a decorative finish as is shown in the photos.