Combine pumpkin, cider, apple, applesauce, and pumpkin pie spice in a skillet over medium-low heat. Cook, stirring frequently, until pumpkin-apple butter is thickened, 10 to 12 minutes. Add honey and stevia-sugar blend.
Fill blender halfway with pumpkin-apple butter. Cover and hold lid down with a potholder; pulse a few times before leaving on to blend. Pour into a lidded container. Repeat with remaining pumpkin-apple butter.
