Preheat the oven to 350 degrees.
Combine the brown sugar, white sugar, oil, yogurt, eggs and crushed pineapple in a large bowl.
In another bowl combine the baking powder, baking soda, flour, cinnamon, nutmeg, and salt.
Add the flour mixture to the wet mixture and stir together.
Fold the grated carrots into the batter.
Add 3/4 cup of the chopped pecans into the batter.
Pour the batter into 2 greased and floured round 9in pans.
Bake for 30-35 minutes until a toothpick comes out clean.
Allow cakes to cool completely before removing from pans.