01 - Preheat oven to 350°F. Grease and line an 8-inch round or square cake pan.
02 - In a large bowl, whisk eggs, oil, brown sugar, Greek yogurt, and vanilla extract until smooth and well blended.
03 - Add flour, baking powder, baking soda, salt, cinnamon, and nutmeg directly to the bowl. Gently fold until just combined. Avoid overmixing to prevent dense texture.
04 - Fold in grated carrots, nuts if using, and raisins until evenly distributed throughout the batter.
05 - Pour batter into prepared pan and smooth top. Bake for 35-40 minutes until a toothpick inserted in center comes out clean or with few moist crumbs.
06 - Let cake cool in pan for 10 minutes, then transfer to wire rack to cool completely before slicing.