Preheat oven to 350°F and grease three 8-inch cake pans.
In a medium bowl, whisk together flour, baking powder, salt, cinnamon, and nutmeg.
In a large bowl, whisk together browned butter, brown sugar, granulated sugar, and maple syrup until smooth.
Add eggs one at a time, mixing well after each addition. Stir in vanilla extract.
Add sour cream and milk, mixing until fully combined and smooth.
Fold in shredded carrots.
Add dry ingredients into the wet ingredients and gently mix until just combined. Do not overmix.
Fold in chopped pecans.