Preheat the oven to 400°F (200°C). Grease and flour a 12-cup muffin tray or line with paper liners.
Mix the dry ingredients: In a medium bowl, whisk together the flour, baking powder, baking soda, salt, cinnamon, ginger, bran and oats until evenly combined. Set aside.
Mix the wet ingredients: In a large bowl, whisk together the egg, vanilla, honey, oil, and applesauce until smooth. Then fold in the Greek yogurt. Saving the shredded carrots to toss into the dry ingredients. Note: a ½ cup of honey is a bit too sweet, so this recipe calls for ⅓ cup PLUS 1 tablespoon to get just the right mildly sweet balance.
Combine wet and dry:
Add the shredded carrots to the dry mixture and stir to distribute.
Gently fold the dry mix into the wet ingredients.
Optional add-ins: If using walnuts, pecans, raisins, currants, or shredded coconut, gently fold them into the batter.
Bake: Divide the batter evenly between the muffin cups. About 2.5oz or (75g) per baking cup. Bake at 400°F (200°C) for 8–9 minutes, then reduce the temperature to 350°F (180°C) and continue baking for 12–15 minutes, or until a toothpick inserted in the center comes out clean.
Cool & serve: Let the muffins cool in the tray for 5 minutes, then transfer them to a wire rack to cool slightly before serving.