Preheat your oven to 350°F (175°C) and grease an 8x11-inch baking dish.

In a medium bowl, whisk together the all-purpose flour, baking powder, salt, granulated sugar, ground cinnamon, and ground ginger.

In a large bowl, combine the unsweetened applesauce, milk, vegetable oil, molasses, and vanilla extract. Stir until smooth.

Gradually add the dry mixture to the wet ingredients, folding gently until just combined.

Pour the batter into the greased baking dish, spreading it evenly.

In a separate bowl, mix the brown sugar, granulated sugar, and ground cinnamon, then sprinkle over the cake batter.

Carefully pour the apple cider and water over the topping, allowing it to seep through.

Bake for 40 minutes or until the center is set. Let cool for 5-10 minutes before serving.