In a small bowl, whisk together the flour, cinnamon, pumpkin pie spice, baking soda, and salt.
In a separate large mixing bowl, using an electric or hand mixer on medium speed, beat together the eggs, pumpkin puree, white sugar, brown sugar, vegetable oil, and vanilla until fully combined.
Gradually add the dry ingredients to the wet ingredients in thirds, mixing after each addition until fully incorporated. Be sure to scrape down the sides of the bowl as needed.
Pour the batter into the prepared baking sheet and spread it evenly. Bake for 20 minutes or until a toothpick inserted into the center comes out clean.
Remove the cake from the pan and transfer it to a cooling rack. To speed up the cooling process, place the cake in the freezer for about 15-20 minutes until completely cool.