I know that there are some that go to great lengths to try to clean/sterilize their cuttings to keep mold at bay. If you want to go that route, it will be more work but will probably work out just fine.
However, in my opinion, this is not necessary. I believe that it's more important to provide the right conditions. This means proper humidity and air that is not completely stagnant for more than a day or two. So if you use a humidity bin, shoe box, or bag, make sure you open it up every day or two to get fresh air. Actually, I have been pushing the days between opening up my sphagnum shoe boxes to 3,4 or 5 days, and it seems fine so far.
Start with reasonably clean and fresh cuttings, rinse off dirt/debris in plain water, put in new baggie method or in sphagnum moss (or just stick in a pot with potting mix with a bag on top). After a few days/weeks you may see some superficial mold develop on the cuttings, particularly on the leaf scars. If I am using the sphagnum method, I will just rub this off gently with my fingers. After rubbing it off once or twice, it usually does not come back, and so far, for me, has not negatively impacted any cutting (and I've done a lot this winter).
As an aside, I tried the same approach with some grape cuttings my neighbor gave me (in sphagnum moss). They were so moldy after one week that I had to throw them out. Not sure if this is typical, or if he just gave me bad cuttings. So there is nothing specific about my setup that is preventing mold, I just think that fresh fig cuttings are pretty resistant by their nature.
Rob