01 - Preheat oven to 350°F (180°C). Line a 7x7 inch (approximately 18x18 cm) baking pan with parchment paper.
02 - Combine eggs, honey, oats, baking soda, cinnamon, butter, and vanilla in a mixing bowl. Use an immersion blender to process until a smooth batter forms. If an immersion blender is unavailable, use a countertop blender.
03 - Fold the shredded carrots evenly into the batter using a spatula.
04 - Spread the mixture evenly into the prepared baking pan. Bake for 20–30 minutes or until a toothpick inserted into the center comes out clean.
05 - Remove from the oven and allow to cool completely on a wire rack. Slice and enjoy.