Preheat oven to 350°. Peel, core and cut each apple into 8 wedges. Unroll both tubes of crescent dough; separate each into 8 triangles. Wrap a triangle around each wedge. Place in a greased 13x9-in. baking dish.
In a bowl, mix sugar, butter and cinnamon until blended; sprinkle over dumplings. Slowly pour soda around the rolls (do not stir).
Bake, uncovered, until golden brown and apples are tender, 35-40 minutes. Serve warm with ice cream.