Here's how I refridgerate my cuttings. Been doing this for years and I rarely get mold unless the cutting is already bad and has some spores in microspaces. Mind you, this is my success method and I don't mean to say that others don't work.
1. Scrub cuttings with a brush and dish soap, rinse well and let dry.
2. 10% bleach spray or dip, then let dry (Honestly I don't know if this makes much difference. For lack of time, I have just used the soap and had the same results).
3. Wax the open ends with plain old candle wax. (This I learned from some European friends- I believe this is the best deterrent to dehydration and infection at the cut ends).
4. Place your cuttings in a Ziplock bag, roll it up to limit air space and put the bags in your fridge crisper. (DO NOT PLACE ANY WET PAPER TOWELS, WET NEWSPAPER, or PLASTIC WRAP AROUND THE CUTTINGS!- just drop them in the Ziplock bag and let them be).
5. Once a month, check on your cuttings. If too much condensation in the plastic bags. Remove the cuttings and dry them off. Wipe out the excess moisture in the Ziplock bags. Place back in fridge.
6. If you see some mold on the ends of the sticks, prune the end off and repeat the soap, bleach, and wax prep- place in a NEW Ziplock bag and watch these guys closely for more mold growth.
7. I have stored sticks for up to a year or more doing this method and consistently get 100% rooting using the baggie method.
I believe sealing the cut ends with wax improves the survival rate of the cuttings. Before I started doing this, I would lose many cuttings to mold and decay. It really made the difference. Also, too much moisture will ruin your cuttings.