Brown Butter Maple Pecan Donuts

Name: Brown Butter Maple Pecan Donuts
Prep time: 15 min
Cook time: 10 min
Total time: 25 min
Cuisine: American
Ingredients: 1/2 cup unsalted brown butter (melted); 1/2 cup light brown sugar; 1/2 cup maple syrup; 2 large eggs (room temperature ); 1 teaspoon vanilla extract; 2 cups cake flour (substitute all purpose flour); 1 1/2 teaspoons baking powder; 1/4 teaspoon baking soda; 1 1/2 teaspoons cinnamon; 1/4 teaspoon kosher salt; 1/4 cup finely ground pecans; 1/2 cup whole milk; 1 1/2 cups powdered sugar; 2 tablespoons unsalted brown butter (melted); 2 tablespoons maple syrup; pinch salt; 2-4 tablespoons milk (as needed); toasted pecans (chopped)