Preheat oven to 375 degrees F.
In a medium bowl, beat together butter and sugars until creamy. Add pumpkin, egg and vanilla and beat until smooth.
In another bowl mix together the dry ingredients – flour, oats, cinnamon, baking soda, baking powder and salt.
Add dry ingredients to wet ingredients and stir until combined.
Use a medium cookie scoop to scoop onto a lightly greased cookie sheet. Bake for 11-14 minutes.
Once cookies are cool, make glaze by whisking together powdered sugar, milk, vanilla and pumpkin pie spice and drizzle over cookies. Let set before transporting or serving.