Preheat oven to 350°F and line a 9x13-inch baking pan with parchment paper or spray it with nonstick spray. Set aside.
In a medium bowl, whisk the vegetable oil, brown sugar, eggs, yogurt, and vanilla together.
1 cup vegetable oil, 1½ cups brown sugar, 4 large eggs, ⅓ cup plain Greek yogurt, 2 teaspoons pure vanilla extract
Add the grated carrots and stir them into the wet ingredients.
3 cups grated carrots
In a large bowl, whisk the flour, baking powder, baking soda, cinnamon, nutmeg, and ginger together.
2 cups all-purpose flour, 1 teaspoon baking powder, 1 teaspoon baking soda, 1 teaspoon ground cinnamon, ½ teaspoon ground nutmeg, ¼ teaspoon ground ginger
Add the wet ingredients to the dry and mix just until combined– you don’t want to overmix!
Transfer the batter to your prepared pan and bake for 28-30 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool completely on a wire rack before frosting.