In the past years I have tried several rooting schemes for fig cuttings. I started off with the moist paper towel method, I tried Perlite and Vermiculite and wetted dried peat moss from the garden center. All with variable results. Since last year I use FRESHLY harvested moss from a somewhat shady and wet part of my garden (see picture). The fresh moss stays fresh for weeks in a closed Zipper bag together with the fig cuttings. The big plus here is that the moist moss stays crisp and very well aerated, which is perfect for root development.
I found that rooting works best when the cutting are lying ON TOP of the moss. It works better than when they are buried IN the moss.