01 - Preheat the oven to 350°F. Grease and line an 8-inch square or round cake pan.
02 - In a large mixing bowl, whisk together eggs and sugar until well combined.
03 - Add melted coconut oil, Greek yogurt, and vanilla extract. Whisk until smooth.
04 - Sift in flour, baking powder, baking soda, salt, cinnamon, and nutmeg. Fold with a spatula until just combined.
05 - Gently fold in grated carrots, nuts, and raisins if using.
06 - Pour batter into the prepared pan. Smooth the top.
07 - Bake for 35-40 minutes, or until a toothpick inserted in the center comes out clean.
08 - Let cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
09 - Optionally, dust with powdered sugar or top with Greek yogurt frosting before serving.