Preheat the oven to 425°F (218°C). Line a 12 cup muffin pan with parchment muffin liners.
Mill 250 grams of einkorn flour into a large mixing bowl.
Add the baking soda, baking powder, cinnamon, ginger, and salt. Stir until evenly combined.
Make a well in the center of the dry ingredients. Add the melted butter, eggs, vanilla, honey, and optional brown sugar.
Use a small whisk to mix the wet ingredients together in the center of the bowl without pulling too much flour into them.
Add the applesauce and finely shredded carrot.
Gently fold everything together just until no dry pockets of flour remain. Be careful not to overmix the einkorn batter.
Divide the batter evenly between the prepared muffin cups, filling each cup without overfilling.
Bake at 425°F (218°C) for 5 minutes.
Without opening the oven, reduce the temperature to 350°F (177°C) and continue baking for about 20 minutes, or until the muffins are lightly browned and set in the center.
Let the muffins cool in the pan for 5 minutes before transferring them to a cooling rack.