Preheat Oven: Preheat oven to 180°C (350°F). Grease and line an 8-inch (20 cm) cake pan.
Mix Wet Ingredients: In a large bowl, beat eggs, brown sugar, yogurt, and vegetable oil until smooth.
Combine Dry Ingredients: In another bowl, sift together flour, baking powder, baking soda, salt, and cinnamon.
Make Cake Batter: Gradually fold dry ingredients into the wet mixture until combined. Stir in grated carrots and optional nuts or raisins.
Bake: Pour batter into the prepared pan. Bake for 30–35 minutes, or until a toothpick inserted comes out clean. Cool completely in the pan before frosting.
Prepare Frosting: In a bowl, beat cream cheese and butter until smooth. Gradually add powdered sugar and vanilla extract, mixing until creamy.
Assemble Cake: Spread cream cheese frosting evenly over the cooled cake. Optionally, sprinkle with chopped nuts or a dusting of cinnamon.
Serving and Storage Tips
