Preheat oven to 350F (180C). Grease and line with parchment paper two 9-inch (23 cm) round cake pans.
In a medium bowl sift together the flour, baking powder, baking soda, salt, cinnamon and nutmeg. Set aside.
In a large bowl add eggs with both sugar and mix for few minutes until creamy and lighter in color.
Add oil and mix until well combined.
Gradually mix in flour mixture.
Add the grated carrot and toasted pecans.
Using a spatula incorporate the grated carrot and toasted pecans.
Pour the batter evenly into the prepared pans.
Bake for about 30-35 minutes until a toothpick inserted into the center comes out clean.
Let pans cool on a cooling rack for 10 minutes.
Remove the cakes from the pan and let them cool completely.