Preheat the oven to 350 degrees . On a surface dusted with flour, unfold the rolls. Place an apple wedge on the wide edge of each piece of dough and roll up; place the dumplings in an 8-inch square baking dish.
In a saucepan, melt the butter with the sugar and cinnamon over medium heat; stir in the Mountain Dew. Pour the mixture on the dumplings. Cover with foil and bake for 15 minutes; remove the foil and bake 15 minutes longer.