Preheat the oven to 350 degrees F.
Beat the oil, sugar, and vanilla together in the bowl of an electric mixer fitted with a paddle attachment. Add the eggs, mixing briefly between each egg.
In a different bowl, sift together the dry ingredients (flour, baking soda, salt cinnamon and nutmeg).
With the mixer on low speed, add 1/2 of the dry ingredients to the wet ingredients. Add the grated carrots and raisins to the remaining flour, mix well, and add to the batter. Mix until just combined.
Using an ice cream scoop, spoon the batter into cupcake liners (in your muffin pan), until each is 3/4 full.
Bake at 350 degrees Fahrenheit for 25 minutes or until a toothpick comes out clean. Let cool.