Preheat your oven to 350°F (180°C).
Line a 12-cup muffin tin with cupcake liners.
Blend the Wet Ingredients: In a blender, add 2 eggs, 100 ml oil, 185 g sugar and 135 g chopped carrots . Blend until completely smooth, about 1–2 minutes.
Mix with Dry Ingredients: In a large bowl, whisk together 135 g all-purpose flour and 2¼ teaspoon baking powder. Pour the blended mixture into the dry ingredients. Gently mix with a spatula or whisk just until combined. Do not overmix!
Bake the Cake: Pour the batter into the prepared cupcake pan. Bake for about 30 minutes, or until a toothpick inserted in the center comes out clean.
Let it cool in the pan for 5 minutes, then transfer to a wire rack to cool completely before frosting.