Preheat the oven to 375°F; grease and flour a one pound loaf pan.
In a large mixing bowl, combine the ripe bananas, eggs, melted coconut oil, apple sauce and vanilla extract and mash/mix well with a whisk until smooth and well combined; a few small lumps of bananas in the mixture is acceptable.
In a separate bowl, combine the flour, baking powder, baking soda and salt and mix well with a whisk until fully combined; add this to the wet ingredients and stir with a spatula until well combined, no more.
Stir in the dates and walnuts, then transfer the batter to your prepared loaf pan.
Bake for 45 to 50 minutes, or until the top is nice and brown and a toothpick inserted in the center of the cake comes out clean.
Remove the cake from the oven and place it on a cooling rack to cool for about 30 minutes, or at least until the pan and cake can be safely handled with your bare hands.
Remove the banana bread from the pan, then slice and serve.