I’m a bit confused. It says you should know the on’yomi, so why would you need to go and find a vocab that uses the kun’yomi? The kun’yomi isn’t relevant to that word, there’s no reason to go seeking it out. If you go to 目, why do you need to find what vocab word the on’yomi was introduced with? Just seeing the on’yomi reading should suffice. Also this is a vocab item, not a kanji item; your query seemed to only be talking about putting vocabulary on the kanji items, so I’m not sure how this example applies.
If you want to see vocab that uses the requested reading (or all vocab items for a kanji) during reviews without needing to first give an answer, then the userscript Kanji Review Vocabulary List would be up your alley and I encourage you to check it out.