This applesauce cake is perfectly moist, scented with cinnamon and brown sugar: and you mix the entire dough in the cake pan. It’s a baking recipe with no mixing bowls required!
Preheat the oven to 350F. Grease an 8-inch square baking pan.
Put the flour, brown sugar, cinnamon, baking powder, baking soda, and salt into the baking pan. Use a fork to thoroughly mix the ingredients together.
Use your hands to make a hole in the center of the dry ingredients. Into the hole, crack the egg and add the olive oil, yogurt, applesauce, and vanilla. Use a fork to mix the ingredients together until smooth and blended. Smooth the top of the batter with the side of a butter knife.
Bake until the cake is fairly firm when you press lightly at its center and a toothpick inserted int the middle has no wet batter sticking to it, 25 to 30 minutes.
Remove from the oven and leave on the counter to cool completely, 1 hour. Leave the cake in the pan. Dust with powdered sugar. Cut into pieces and use a small spatula to lift them from the pan.