I've made agitator bags several times, they come in handy from time to time- whether they effectively work or not largely depends on the type of buildup that's in the system. In a nutshell, you can plumb two boxed wine bags, or collapsible water bladders up to the heater core, get as much air out of the setup as possible where a majority of your flush fluid is in one bag, and the second bag contains as little as possible of anything, including air. Typical flushing only goes one direction, and when you reverse it, goes the other, with the bag setup, that change of direction is pretty effective at dislodging sediments and pulling them out of the system - similar to using a plunger. Overall, you're better off in the long term to do a replacement, but sometimes a second alternative can come in handy