In a stand mixer or large bowl, cream together the softened butter, pumpkin puree, brown sugar, granulated sugar, and vanilla until the mixture is light and fluffy.

In a separate large bowl, whisk together the all-purpose flour, baking powder, pumpkin pie spice, cornstarch, and salt.

Gradually add the dry ingredients to the wet ingredients bowl, mixing on low speed until just combined (don’t over-mix).

Cover the bowl and place it in the fridge for 30 minutes or overnight.

Preheat the oven to 350 °F (177 °C).

Scoop 2-inch balls of dough out, press down to flatten into disks, and arrange them on a parchment-lined baking sheet.

Bake on the center rack for 10-12 minutes. Let them cool down completely.

In a medium bowl, use an electric mixer or a stand mixer with the whisk attachment to whip together all the frosting ingredients until fully combined.

Spoon icing into a piping bag fitted with a Wilton Piping Tip #2A. Pipe the cinnamon frosting on top of the cooled cookies.