Preheat your oven to 350°F (175°C). Grease an 8-inch rectangular baking dish.

In a medium bowl, whisk together the flour, baking powder, salt, sugar, cinnamon, nutmeg, and cloves. Set aside.

In a separate bowl, mix together the applesauce, milk, melted butter, vanilla extract, and grated carrot until smooth.

Pour the wet mixture into the dry ingredients and stir until a thick batter forms, being careful not to overmix.

Pour the batter into the greased dish and spread evenly with a spatula.

Mix the granulated sugar, brown sugar, and chopped nuts in a small bowl, then sprinkle it over the batter.

Carefully pour very hot water over the topping, ensuring it covers the entire surface without mixing it into the batter.

Bake in the preheated oven for 40-50 minutes or until the center is set and a toothpick comes out with a few moist crumbs.

Let the cobbler cool for 5-10 minutes before serving, enjoying it warm alongside the caramel sauce.