Preheat oven to 400° F.
In a medium mixing bowl, combine flour, brown sugar, granulated sugar, baking powder, cinnamon, and salt. Mix well.
In a separate bowl, combine eggs, water, vegetable oil, yogurt, and grated carrots. Mix well.
Add dry ingredients to wet ingredients and mix until combined.
Spoon batter into a 12-cup greased muffin tin.
In a small bowl, combine brown sugar, oats, coconut, and pecans.
Spoon mixture over muffin batter and press down gently.
Bake at 400° for 18-22 minutes.