Preheat the oven to 350°F (180°C). Grease and line an 8-inch (20cm) pan with parchment paper.
In a mixing bowl, add the eggs with honey or maple syrup. Whisk until well combined.
Pour in the vegetable oil, vanilla extract, and yogurt. Mix until creamy.
Add the oat flour, cinnamon and nutmeg, baking soda, baking powder, and salt. Stir until all ingredients are fully incorporated.
Gently fold in the finely grated carrots until evenly distributed throughout the batter.
Pour the batter into the prepared pan, spreading it out evenly.
Bake in the preheated oven for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
Once baked, remove the cake from the oven and let it cool completely before frosting.