Preheat your oven to 350 degrees F. Line two baking sheets with parchment paper. Set aside.

In the bowl of an electric mixer, fitted with the paddle attachment, cream together the baking sticks and sugars until light and fluffy.

Add the pumpkin, egg and vanilla. Mix until incorporated.

On low speed, add the flour, baking soda, baking powder, salt and pumpkin spice.

Using a cookie scoop about 1.5 inches big, drop cookie dough about 2 to 3 inches apart on the baking sheet.

Bake for about 12 minutes, until the edges are golden brown.

Let cool for about 30 minutes before adding glaze.

Heat the butter and brown sugar in medium saucepan until bubbly. Cook, stirring constantly for 1 minute. Will be a little thick. Stir in the milk. Blend in the powdered sugar until the mixture is smooth.

Pour the glaze by the spoonful over each cookie.