Punch down the risen dough and roll it out on a floured surface into a large rectangle, about ¼-inch thick.
Spread the softened dairy-free butter over the dough.
In a small bowl, mix the light brown sugar and ground cinnamon for the filling. Sprinkle this mixture evenly over the buttered dough.
Spread the cooled apple filling over the cinnamon sugar mixture.
Roll up the dough tightly from the long edge to form a log.
Cut the log into 5 equal pieces and place them in a greased 9x13-inch baking dish, cut side up.
Cover the dish with a damp cloth and let the rolls rise again for about 30-45 minutes, or until puffy.