Preheat oven to 350°F. Line a baking sheet with parchment paper and set aside.
Using a hand mixer, cream the butter and sugars together in a large bowl.
¾ cup unsalted butter, 1 cup granulated sugar, ½ cup brown sugar
Beat in the pumpkin puree, egg, and vanilla extract. Set aside.
1 cup pumpkin puree, 1 large egg, 1 teaspoon pure vanilla extract
In a separate bowl, combine the flour, baking powder, baking soda, pumpkin pie spice, and salt.
2½ cups all-purpose flour, 1 teaspoon baking powder, 1 teaspoon baking soda, 1 tablespoon pumpkin pie spice, ½ teaspoon kosher salt
Add the dry ingredients to the wet ingredients, and stir until just combined.
Drop heaping tablespoonfuls of cookie dough onto the baking sheet at least 1 inch apart.
Bake the cookies for 11-13 minutes. Let the cookies cool.
While the cookies cool, prepare the frosting: Use a hand mixer to beat the cream cheese, butter, powdered sugar, vanilla extract, and salt together until smooth.
8 ounces cream cheese, ¼ cup butter, 2½ cups powdered sugar, 1 teaspoon pure vanilla extract, ⅛ teaspoon kosher salt
Once the cookies have cooled, frost the cookies.
Sift a sprinkling of cinnamon on top of the cookies if desired.
Ground cinnamon