Preheat oven to 350 degrees. Prepare pans with non-stick spray.
In mixer bowl, add eggs and beat well. Add bananas and beat until bananas are mashed and mixture is smooth. Add shortening, applesauce and sugar and combine. Add baking soda, salt and flour and mix well.
Bake in preheated oven for 25-30 minutes, or until a toothpick inserted in the center comes out clean.
Let cool in the pan for 5 minutes, then remove to a wire rack to finish cooling.
While banana bread is baking, prepare the icing by adding the sugar, butter and milk to a medium saucepan over medium-high heat. Stir constantly as it comes to a boil, 3-4 minutes. Continue stirring as the mixture boils for 1 minute. Remove from heat.
Add the white chocolate chips and maple flavor and stir until the chips are melted and the icing is smooth.
Pour slowly over the top of the bundt cakes, allowing it to drizzle down the sides. Cool and enjoy!