Mix eggs, powdered sugar, milk, maple syrup, brown sugar, and cinnamon together in a bowl with a fork until well blended. Dip each bread stick into the egg mixture.
Coat a skillet with nonstick spray and heat over medium heat. Place sticks in the hot skillet and cook until brown, 2 to 3 minutes; turn over and cook until browned on other side, 2 to 3 minutes more. Repeat with the second batch.