In a medium saucepan, combine the water, mashed bananas, brown sugar, sugar, maple syrup, cinnamon sticks, nutmeg, salt, and ground ginger. Bring the mixture to a gentle simmer over medium heat, stirring occasionally to dissolve the sugars completely. Once simmering, maintain a gentle simmer for 5 minutes—this allows the spices to infuse their flavors into the liquid while the banana breaks down further. I always use Nielsen-Massey vanilla extract, and I add it at the end rather than now because heat can diminish its delicate aroma.