Preheat oven to 400 degrees F. Grease a 12-cup muffin tin, or line with paper muffin cups.
In a large bowl, mix together flour, bran, baking powder, and baking soda. In another bowl, mix together milk, molasses, applesauce, oil, and eggs. Add wet ingredients to dry ingredients, and stir just until combined. Drop batter into prepared muffin cups.
Bake in preheated 400 degree F oven for 15 to 20 minutes. Store in an airtight container at room temperature.