Preheat oven to 350F. Grease and flour (or grease and parchment paper) your pan(s). See directions below for baking one 9x13-inch cake or three 8-inch layers.
In a large mixing bowl, mix the shortening and sugar until well blended. Add eggs and beat well with an electric mixer.
1 ½ cup shortening, 2 cups sugar, 3 eggs
In a separate bowl, mix the flour, cinnamon, baking soda, and salt. Add this to the egg mixture and mix with a spoon.
2 cups flour, 2 teaspoons cinnamon, 2 teaspoons baking soda, 1 teaspoon salt
Fold in the pineapple, vanilla, and carrots.
8 to 9 ounces crushed pineapple in juice, 2 teaspoons vanilla, 2 cups shredded carrots
Pour into prepared pan(s).
Bake: 45 minutes for a 9x13-inch cake. (I grease and flour the pan for this)
Bake: 35-40 minutes for three 8-inch layers (I grease and use a circle of parchment paper for this)
When cakes are done, a toothpick inserted will come out cleanly.
Cool completely in pan(s) before frosting.
Frost with cream cheese frosting.