Carolina Pecan Bars

Cake
1 ½ cups pecans, roughly chopped
1 tablespoon butter
2 cups white sugar
1 cup butter (two sticks)
4 eggs, room temperature
2 teaspoons vanilla extract
1 teaspoon maple extract
3 cups flour
2 teaspoons baking powder
1 teaspoon salt
1 cup whole milk
Frosting
6 cups powdered sugar
12 oz cream cheese (1 ½ packages), room temperature
⅔ cup butter
1 teaspoon vanilla extract
1 teaspoon maple extract
1-2 tablespoons milk
Preparation