Instructions

• Preheat oven to 350°F. Line a 12-count muffin tin with paper liners. Set aside.
• Combine flour, baking soda, baking powder, cinnamon, and salt. Set aside.
• In a large bowl, whisk oil, applesauce, brown sugar, granulated sugar, eggs, and vanilla extract until thoroughly combined. Add dry ingredients and whisk until just combined. Stir in carrots using a rubber spatula or spoon.
• Divide batter evenly among 12 muffin cups (I use an ice cream scoop). Bake for 18-20 minutes, until a toothpick inserted into the center comes out clean. These cupcakes do not have a high rise, they'll be just over the top of the paper liner. Cool for 10 minutes, then remove cupcakes to a wire rack to cool completely.
• Place the butter, cream cheese, brown sugar, and molasses in the bowl of a stand mixer fitted with the paddle attachment. Beat for 1-2 minutes at medium speed. If necessary, scrape the sides of the bowl and the beater, then beat a little longer. Let this mixture sit for 5 minutes, to allow the brown sugar to absorb into the wet ingredients (this is to avoid grittiness).
• Add the powdered sugar and vanilla and beat until smooth and creamy, scraping the beater and sides of the bowl periodically. If you prefer the frosting thicker, add a little more powdered sugar. Give it a mix on high speed for one full minute. This frosting is on the softer side and it will firm up once refrigerated.
• Spread or pipe the frosting on top of each cupcake (I used a pastry bag and open star decorating tip). Place the cupcakes in the fridge so the frosting can firm up a bit. Serve at cool room temperature.