Unroll crescent rolls, and separate. Wrap each apple quarter with crescent roll dough, and place in a lightly greased 13- x 9-inch baking dish.
Bring orange juice, 2/3 cup sugar, and butter to a boil in a saucepan. Pour over apple dumplings. Stir together 2 teaspoons sugar and 1 teaspoon cinnamon; sprinkle over dumplings.
Bake at 350° for 25 minutes or until golden and bubbly.