1. Prepare the Dry Mix: In a large mixing bowl, whisk together the flour, salt, baking powder, baking soda, and cinnamon until well combined.
2. Combine Wet Ingredients: In a separate bowl, whisk together the applesauce, grated carrots, cooled melted butter, eggs, vanilla extract, and maple syrup until smooth.
3. Mix Batter: Gently add the dry flour mixture into the wet ingredients. Stir just until everything is combined and no dry streaks remain – be careful not to overmix!
4. Bake the Bars: Line an 8x8 inch baking dish with parchment paper, leaving an overhang on the sides for easy lifting. Pour the carrot cake batter into the prepared dish and spread evenly.
5. Bake: Place the dish in a preheated oven at 375°F (190°C) and bake for 27 to 30 minutes, or until a toothpick inserted into the center comes out clean. Let the bars cool completely in the pan before frosting. This is crucial for a smooth frosting experience!
6. Make the Frosting: While the cake cools, beat the softened cream cheese in a bowl until light and fluffy. Stir in the Greek yogurt and beat until smooth.
7. Finish Frosting: Add the vanilla extract and powdered sugar to the cream cheese mixture. Beat until the frosting is smooth and creamy.
8. Frost and Serve: Once the carrot cake bars are completely cool, spread the light cream cheese frosting evenly over the top. Cut the cake into 12 equal squares and enjoy!