Pumpkin Cookies with Browned Butter Frosting

I felt like doing some more fall baking today. These cookies fit the bill perfectly. I am very pleased with the way they turned out. Very moist and tender. Almost a cake like cookie. My only issue was with browning the butter, but that was my fault and not the recipe. Be patient when browning your butter! :)

Pumpkin Cookies with Browned Butter Frosting
(Recipe courtesy of Betty Crocker Fall Baking)
2/3 cup granulated sugar
2/3 cup packed brown sugar
3/4 cup butter or margarine, softened
1 teaspoon vanilla
1/2 cup (from 15-oz can) pumpkin (not pumpkin pie mix)
2 eggs
2 1/4 cups Gold Medal® all-purpose flour
1 teaspoon baking soda
1 teaspoon ground cinnamon
1/2 teaspoon salt
Browned Butter Frosting
3 cups powdered sugar
1 teaspoon vanilla
3 to 4 tablespoons milk
1/3 cup butter (do not use margarine or spread; it will burn)

1. Heat oven to 375°F. In large bowl, beat granulated sugar, brown sugar, 3/4 cup butter and 1 teaspoon vanilla with electric mixer on medium speed, scraping bowl occasionally, until well blended. Beat in pumpkin and eggs until well mixed. On low speed, beat in flour, baking soda, cinnamon and salt.
2. On ungreased cookie sheets, drop dough by heaping tablespoonfuls.
3. Bake 10 to 12 minutes or until almost no indentation remains when touched in center. Immediately remove from cookie sheets to cooling rack. Cool completely, about 45 minutes.
4. In medium bowl, place powdered sugar, 1 teaspoon vanilla and 3 tablespoons milk. In 1-quart saucepan, heat 1/3 cup butter over medium heat, stirring constantly, just until light brown.
5. Pour browned butter over powdered sugar mixture. Beat on low speed about 1 minute or until smooth. Gradually add just enough of the remaining 1 tablespoon milk to make frosting creamy and spreadable. Generously frost cooled cookies.
High Altitude (3500-6500 ft): Bake 12 to 14 minutes.