Hellobee Boards

Here is a nice one, uses applesauce like you mentioned, and bananas:

Sugar Free Applesauce and Banana Cake

8 oz (2 cups) whole wheat flour
1 tbsp wheat germ
1 heaped tsp baking soda
1 tsp cinnamon (optional)
6 medium, ripe bananas - mashed
8 fl oz (1 cup) sugar-free applesauce
2-4 fl oz (1/4 to 1/2 cup) milk

Preheat the oven to 325 deg F (160 deg C).
In a bowl, combine the flour, wheat germ, baking soda and cinnamon.
In a separate bowl, combine the applesauce with the mashed bananas and 1/4 cup milk.
Pour the applesauce mixture into the bowl with the dry ingredients and mix thoroughly. If the mixture seems dry, you can add up to another 1/4 cup milk.
Pour into a greased 9" x 9" square or 9" round pan and bake for around 1 to 1 1/2 hours. The cake is ready when a sharp knife inserted into the middle comes out clean.

Mrs Pen originally shared this with me.
http://healthyindulgences.net/2009/05/healthy-chocolate-cake-with-a-secret/
I made it for Easter and it's delicious!

@Mrsbells: I made it with honey for Easter but for M's smash cake I will be using maple syrup instead. It definitely wants to rest ~8hrs.