Preheat oven to 350°F.
In a large bowl, combine the flour, brown sugar, baking soda, cinnamon, nutmeg and ginger.
In another large bowl, combine the eggs, applesauce and vanilla.
Then stir wet ingredients into dry ingredients until just moistened.
Fold in the carrots and raisins (batter will be thick).
Spread evenly in a 13-in. x 9-in. baking pan coated with cooking spray.
Bake at 350° for 30-35 minutes or until a toothpick inserted near the center comes out clean.
Cool on a wire rack.