Preheat your oven to 350°F and grease a 9x9 inch baking pan with a light coating of coconut oil.
In a large mixing bowl, whisk together the eggs, egg whites, Greek yogurt, melted coconut oil, maple syrup, and vanilla extract until the mixture is smooth.
Fold the grated carrots into the wet ingredients until they are evenly distributed throughout the bowl.
Add the oat flour, chocolate protein powder, cacao powder, baking powder, baking soda, and sea salt to the wet mixture.
Stir the batter gently with a spatula until just combined, ensuring there are no large dry clumps remaining.
Pour the batter into the prepared pan and use a spatula to smooth the surface into an even layer.
Bake for 35 to 40 minutes, or until a wooden skewer inserted into the center of the cake comes out clean.
Allow the cake to cool in the pan for at least 20 minutes before slicing it into 4 generous portions.