I was confusing myself. Sorry.
I misread your first question as asking about the Crepidotaceae, but now that I see it’s about Crepidotus.. well, I’m equally confused about what’s unsatisfactory about the IF authorship/citation…
To be sure we’re on the same page (and although it’s simply a matter of curiosity), I was wondering about the authorship (and cite) of the genus if has been moved from the family where Staude put it.
Crepidotaceae was rejected in favor of Cortinariaceae (search here: https://naturalhistory2.si.edu/botany/codes-proposals/); this only applies if the two are considered taxonomic synonyms. In modern phylogeny they are not, so Crepidotaceae can still be used.
Crepidotaceae is considered sister to the Inocybaceae. It is phylogenetically acceptable to lump them, in which case Crepidotaceae would have priority (IF is wrong, see Matheny 2009)… but mycologists are mainly not doing that.
Authorship is here – http://www.indexfungorum.org/...