Board Thread:Naruto Discussions/@comment-39491274-20190604201820/@comment-39491274-20190609021434

We might not know what Asuma and Kurenai taught their teams but we do know that they taught them about team work better than Kakashi, seeing how most of the time Team Seven could never agree with each other and fought each other.

As for Kurenai not teaching genjutsu to her team, it is possible that none of them were able to do so. And from what I can remember about Hinata's Clan, they do not use other jutsu other than their own Clan Jutsu, so it is possible that Kurenai was limited to what she could teach Hinata.