Preheat oven to 350°F. In a bowl, combine Krusteaz Cinnamon Swirl Crumb Cake & Muffin Mix, water, egg, and pumpkin puree. Set aside crumb topping.
Pour batter into a greased doughnut pan, filling about 3/4 full. In a small bowl, mix together crumb topping, cinnamon and nutmeg. Top batter with the crumb topping mixture, pressing topping down into the batter.
Bake 7-9 minutes or until a toothpick inserted in the center comes out clean. While doughnuts are baking, heat butter in a large saucepan over medium heat until boiling; let butter turn light brown then remove from heat. Add powdered sugar, vanilla extract and milk. Whisk together until smooth.
Remove doughnuts from pan once cooled. Transfer to cooling rack and drizzle frosting over warm doughnuts.