Autumn Spice Cake

Name: Autumn Spice Cake
Cuisine: American
Ingredients: 1 1/8 cups All-Purpose Flour; 1/2 tsp Baking Powder; 1/2 tsp Baking Soda; 1/4 tsp Salt; 1 1/4 tsp Ground Cinnamon; 1/2 tsp Ground Nutmeg; 1/2 tsp Ground Ginger; 1/4 tsp Allspice; 1/8 tsp Ground Cloves; 1 cup Packed Light-Brown Sugar; ¼ cup + 2 tablespoons Vegetable Oil; 1/2 cup Unsweetened Applesauce; 2 Large Eggs; 1 tsp Vanilla Extract; 1/2 cup Buttermilk; 8 oz Cream Cheese; 1/4 cup Unsalted Butter, nearly at room temperature; 1 3/4 cups Powdered Sugar; 1/4 tsp Vanilla Extract