I think YMT knows how its played, his explanation just may have been a bit unclear.
To make it abundantly clear/overexplained:
A rescued 2/3-Liner is worth 2 Redeemed Souls. So if you have the card in your LoR, you have 2+X points, where X is the number of regular Redeemed Souls in your LoR. If Falling Away is played on the liner, then it returns to the FA player's territory, and you now have X points. However, it is returned to the territory with one rescue counted (which I think is what YMT meant by counter), most often this is signified by a player "tapping" it (turning it sideways). So if you rescue it again, it goes to your LoR and counts as 2 Redeemed Souls (i.e. your score is again 2+X). If the card goes to a deck or discard pile, then it resets, and if it is returned to play, then it has no counters/rescues and must be rescued twice.