Pudding
Dry bread in a 200˚F oven for about 20 minutes. Remove bread from oven and increase oven temperature to 300˚F. Slice bread 1/2 inch thick. Place bread in a 10x8x2-inch baking pan.

In a large bowl, combine egg yolks, banana slices, brown sugar, cream, milk, granulated sugar, rum, vanilla, and cinnamon; blend well with a hand mixer. Pour mixture over bread and mush together with your hands so the bread absorbs the liquid and becomes very soggy. Be sure to flatten all of the lumps. Cover pan with foil and bake at 300˚F for 2-1/2 hours or until a skewer inserted in the center of the pudding comes out dry. Remove foil and bake for an additional 20 minutes or until pudding is golden brown. Remove from oven and cool until pudding is warm.

Foster Sauce
Melt butter in a saucepan. Add brown sugar and cinnamon and mix well. Add rum and then carefully ignite. After the flames have subsided, stir in banana liqueur. Add banana lengths and simmer over medium heat for about 2 minutes or until the sauce coats a spoon. 

To serve
Cut warm bread pudding into 3-1/2-inch squares. Top each serving with Foster sauce and a slice of banana. Garnish with mint leaves.