Step One: Preheat the oven to 375 degrees F (190 degrees C). Grease 12 large muffin cups, or line with paper liners.
Step Two: In a large bowl, whisk together the eggs, applesauce, oil, brown sugar, vanilla and bananas. Combine the flour, baking soda and cinnamon; Stir into the banana mixture until moistened. Stir in the strawberries until evenly distributed. Spoon batter into muffin cups until completely filled.
Step Three: Bake for 20 minutes in the preheated oven, or until the tops of the muffins spring back when pressed lightly. Cool before removing from the muffin tins.