Seems that the more tools, provided by Instagram, that you use, the more you are liked by the platform. Using live videos is one of the ways in getting your audience engaged. During the videos you can communicate with your audience effectively. You can even ask them to go and engage on your last post, comment/share/like. Things that soon will be frowned upon on posts, you will still be able to do on live videos.
You could ask your audience to go and like your last post and comment on it. In return, you can promise to comment back to the first 20 people that comment. If you promise that, you must deliver and make it count! If people see you engage with your followers, others are more likely to engage on your posts as well. Some accounts that are HUGE, do not answer to their followers on their own, they have staff members that do, or they don’t answer at all.
Another method that I have seen work very well on other huge accounts is telling your followers that you will respond to the LAST 10 comments. Or you can say that the last comment will get a shoutout on your story! This will bring in endless comments onto your post since everyone will want to be the last account to comment by the cut off. This method seems to work very well but seems to also be one of the shadiest ones, I’ve witnessed.