Preheat the oven to 350℉. Prepare six 4 inch mini cake pans by greasing liberally with non-stick cooking spray or butter. Alternatively, cutting a circular piece of parchment for the bottom of each pan works well.
In a large bowl, mix melted coconut oil with granulated and brown sugars. Add eggs and vanilla; whisk until fully incorporated.
Add flour, baking soda, cinnamon, ginger, nutmeg and salt and fold ingredients together until the flour has disappeared -- the batter will be thick.
Fold in grated carrots and pecans until the mixture is uniform.
Divide the batter evenly into greased tins. (Fill a little more than half way for muffins or mini cakes, or 3/4 way for mini bundts.)
Bake for about 22-25 minutes, or until the tops are golden brown and a toothpick inserted in the cakes comes out clean or with just a few moist crumbs.
Let cakes cool for about 10-15 minutes before removing.