“Passed away” is used when talking to someone who knew the person that died, and within close time of the death. “Passed on” is similar to “Passed away” But implies the existence of an afterlife, therefore would be used when talking to people who believe in an afterlife.
You can use passed on (to somebody) give something to someone else, especially after receiving it or using it yourself ,Pass the book on to me when you've finished with it. I passed your message on to my mother. Much of the discount is pocketed by retailers instead of being passed on to customers.