We are having a problems IDing this one. There is alot a candates which are very simerlar being put forward. I think we may have to look at this one in a differant manner.
The fundamantal differances used for the identification of ascomyctes differ from that of the gill fungi. The structure of the fungus, and the look of the spores are alot more important. If think abot horses hoof fungus the cross section view is easyest way of being sure of what you have. With smaller fungi a hand lens is nearly always needed to get same type of view of the cross section. I have collected fungi for years without needing a microscope. For mycrophagy a microscope feels like over kill to me, but even I admit sometimes they are needed for certain types of non-edible fungi. Cup fungi are one of those groups.
Under a standard microscope (not oil emersion) a thin slice of the cross section of fruit body is taken and dyed with melzar reagent. Below 500X mag the spore baring stuctures should be visable. There will be various layers of cells that form the outside of the fruit body. The important bit to look at is the spore baring inner area. The acsi (where the spores form) and the paraphyses (sterile) should be projecting out of the lower layers like a grass lawn. They are 250microns long so are much bigger than spores. Basically the paraphyses come in a variety of shapes: branched, forked, hooked, clubed, and straight. These may visable without dye, I dont know I havent looked at anything other than spores for good many years.
Humaria hemisphaerica has hairs on the outside the are awl-shaped when veiwed with a hand lens.
Neobulgaria pura is more flat and jelly like.
I personally I feel it may be a peziza. Considering it is growing in a normal place (not a fire site or an office carpet
) it is really hard it say what it is.
Crepidotus spp are gilled. The white braket fungi is not.
Coriolus hirsutus sounds good I don't know of anything better that fits.