Preheat the oven to 350 degrees.
In a large bowl, whisk together your sugars, oil, and crushed pineapple until well combined.
Add in the eggs and stir until just combined.
Dump in the cinnamon, nutmeg, baking powder, baking soda, salt, and flour. Stir into the mixture.
Fold in your grated carrots.
Pour mixture into a greased 9x13 pan.
Place into the preheated oven and bake for 37-45 minutes (Mine took 40) or until a toothpick comes out clean.
Remove from oven and allow to cool completely before frosting. (Place in the fridge to speed up cooling.)