Review the ingredients list to make sure you have everything you need. Get the cream cheese and butter out of the refrigerator to soften at room temperature before starting the recipe. You may also want to grind the oats beforehand if you are not using pre-made oat flour.
Preheat the oven to 350 degrees F/180 degrees C. Line a rimmed half sheet pan (18x13") with parchment paper. Grease the sides of the pan that are not covered by the parchment with butter.
In a mixing bowl, whisk together the flours, pumpkin pie spice, baking powder and soda, and salt until well-combined.
In a separate bowl, whisk together the pumpkin puree, maple syrup, eggs, Greek yogurt, olive oil, and vanilla extract until smooth.
Add the dry ingredients to the wet ones, and stir gently with a rubber spatula until smooth. If the batter has any lumps, tap them with the spatula so they burst and gently stir until the batter is fully smooth.
Pour the batter onto the lined half sheet pan. Use a rubber spatula to spread it out so that it evenly coats the pan.
Place the pan on the center rack of the oven. Bake for 20 to 25 minutes until a toothpick inserted in the center comes out clean, or mostly clean with a few crumbs. Let the pumpkin bars cool completely.
While the bars are cooling, prepare the frosting. Using a hand or stand mixer, mix together the softened cream cheese, butter, sugar, and vanilla extract. Mix on low until the sugar is incorporated so that it doesn't fly out of the bowl. Increase the speed to medium and mix for 1 to 2 minutes until light and fluffy.
Using an icing knife or offset spatula if you have one, spread the frosting on top of the bars in an even layer. After frosting, cut the bars into squares. Alternatively, you can cut the bars before adding frosting to them individually.
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