In a shallow microwavable glass baking dish or pie plate, mix butter, brown sugar and lemon juice. Microwave, uncovered, on HIGH for 1 minute. Stir well.
Peel bananas and cut them in half crosswise. Slice each lengthwise. Arrange 8 pieces in a single layer in the sugar mixture, turning them over once to coat. Put cinnamon sticks and lime peel around the banana pieces.'.
Microwave on HIGH, uncovered for 2 minutes. Baste the bananas with the sauce. Microwave on HIGH for 1 or 2 more minutes, or until the bananas are soft.
Let stand for 3 minutes.
Garnish with coconut and serve warm with the sauce.