In the bowl of a stand mixer or in a large bowl with an electric hand mixer, beat the sugars and softened butter together until they are creamed. Add the ricotta, pumpkin puree, eggs, and vanilla extract to the butter mixture and beat until combined. Add the remaining ingredients and beat on low until combined without over-mixing.
½ cup white sugar, ½ cup brown sugar, 4 ounces unsalted butter, ⅔ cup plus 1 Tablespoon ricotta cheese, ⅔ cup plus 1 Tablespoon pumpkin puree, 2 large eggs, 1 teaspoon vanilla extract, 2 ½ cups all purpose flour, 1 teaspoon baking soda, 1 teaspoon baking powder, 2 teaspoons pumpkin pie spice, ½ teaspoon kosher salt