Yes applesauce can help you poop because the applesauce is loaded with lots of fiber.
You need a good amount of fiber in your diet to help keep your bowels moving properly so that you do not get constipated and eating any foods high in fiber helps you poop.
Applesauce is made from apples which contain fiber so eating apples can help you poop as well.
Other foods that can help you poop and contain lots of fiber are raisins, prunes and figs as well as bread.
Eating enough fiber can help you poop.
Also drinking apple juice, prune juice, pear juice etc can all help improve your health and help you poop when you're constipated.
Drinking those juices can also help cleanse your colon and keep your intestines healthy as well as keep your colon and bowels healthy.