The mold (or fungus?)shouldn't hurt your plants at all- quite the opposite, in fact. Most of these situations result in decomp of the mulch- which enhances the soil.

If you have wet weather there in Nebraska, or are watering on the mulch often- then it may encourage this growth. A deep, less frequent watering (one inch, one time, per week) may allow it to dry out and slow the attack.

I have shady areas that just get molds/fungi- and I just don't care (but then I don't often buy my mulch).

Marsha, I use cocoa mulch on all of my flower beds - love the look and smell of it. I usually find that mold develops in some areas but disappears after a while. Seem to recall reading - somewhere on GW - that this is very common with cocoa mulch; however, it disappears and does not seem to do any harm to plants.
HTH
Margaret