Preheat oven to 350°.
To prepare bread pudding, combine first 6 ingredients in a large bowl. Stir in bread and mango. Let stand at room temperature 30 minutes. Pour mixture into an 11 x 7-inch baking dish coated with cooking spray. Bake at 350° for 1 hour. Sprinkle with coconut. Bake an additional 10 minutes or until set. Let stand 30 minutes before serving.
To prepare sauce, combine sugar and nectar in a small saucepan. Bring to a boil. Reduce heat, and simmer 10 minutes. Remove from heat; stir in butter. Combine the cornstarch and evaporated milk in a small bowl. Add cornstarch mixture to nectar mixture. Bring to a boil over medium heat; cook 1 minute, stirring constantly. Serve warm over bread pudding.