Preheat oven to 350° F.
Mash the ripe banana in a small bowl.
Grate the carrots, and mix with the banana.
Then pour in the applesauce and water.
In a medium bowl, whisk together the flour and oats.
Make a well in the centre of the dry ingredients and pour in the carrot mixture.
Stir until thoroughly combined.
Knead the dough in the bowl with your hands.
Fold out onto a floured surface and continue to knead until a dough has formed.
Roll out to 1/2 inch thickness.
Cut out into 3 inch pieces.
Lightly spray a baking sheet with non-stick spray.
Place the cut-outs on the baking sheet and bake for 25 minutes.
Let them cool completely on a wire rack.