Preheat the oven to 375°. Lightly grease a large nonstick baking sheet with the butter. Press the brown sugar through a strainer onto a medium plate to remove any lumps and then sprinkle 2 tablespoons of the sugar evenly over the prepared baking sheet.
In a shallow bowl, whisk the milk with the eggs, applesauce, granulated sugar, rum, vanilla, cardamom, and salt. Add the bread slices and turn to coat, until thoroughly moistened. Arrange the slices on the prepared baking sheet and sprinkle evenly with the remaining 2 tablespoons brown sugar. Bake for about 20 minutes, turning once, until the toast is lightly browned and the sugar is caramelized. Transfer the French toast to warm individual plates and serve with the blueberry and mango compote and the turkey sausage patties.
Notes: Use a good-quality dense white bread that won't fall apart when soaked. Bake the French toast for a couple of minutes longer if you like it extra-crisp. ONE SERVING: Calories 352 kcal, Protein 3 gm, Carbohydrate 59 gm, Cholesterol 114 mg, Total Fat 9 gm, Saturated Fat 8 gm