Carrot Cupcakes w/ Cream Cheese Brown Sugar Frosting

2 Cups of All-Purpose Flour.

2 Teaspoons of Baking Soda.

3 Teaspoons of Cinnamon.

1 Teaspoon of Salt.

1 Cup of Vegetable Oil.

1/2 Cup of Unsweetened Applesauce.

1/2 Cup of Brown Sugar, Packed.

1 1/2 Cups of Granulated Sugar.

4 Eggs.

1 Tablespoon of Vanilla Extract.

2 1/4 Cups of Carrots (About 5 Medium Carrots), Finely Grated.

2 (8 Ounce) Blocks of Cream Cheese, Softened.

1 Cup (2 Sticks) of Unsalted Butter, Softened.

1 1/2 Cups of Brown Sugar.

1 Tablespoon of Vanilla Extract.

2 Teaspoons of Cinnamon.

3 Cups of Powdered Sugar.