Hello! I've noticed the chests from this mod don't support quark features, such as searching or sorting items. Are there may be any plans to add it in future?

You can add it with quark itself, they allow it in their config

can I find out exactly where this configuration is?

quark-common.toml there are no such configurations.

It is in quark-common.toml the option is Allowed Screens and you need to put tech.thatgravyboat.ironchests.client.ChestScreen in the list in quotes.