It seems a bit weird that the example somehow doesn't consider 'fugashi' a compound noun and claims it's 2 nouns, 'fu kashi'.
Maybe that's intended but then apparently this is pointless if you want to know how things are pronounced.
Maybe that's intended but then apparently this is pointless if you want to know how things are pronounced.
UniDic has a rule that a "word" (or a "short unit word" 短単位, the unit used in UniDic) can't be more than two "minimal units", where an example of a minimal unit is a kanji with a Chinese reading. So 麩菓子 can't be a word, and in this case it's 菓子 with 麩 on the front.
You can read more about short unit words here.
https://unidic.ninjal.ac.jp/glossary#suw
It's not a perfect tradeoff, and I think it can be improved, but it does have its advantages.