Andreas shares in this blog post, "Why is there still no new version of lomoco to support the latest Logitech Mice? The answer is that I still don’t know how they detect a mouse connected to a receiver. Maybe they just have a table which defines which mice come with which receiver and then try some commands. If it fails it is mouse X and if not it must be mouse Y."
Schnelder isn't totally in the dark about how Logitech's new mice work, but he's written proof of concept code for a few mice. His g_hack code allows changing the Logitech mice resolution for some gaming mice such as the Logitech G5, G7, and G8. Lomoco_battery displays battery information for Logitech's cordless mice like the MX, VX, and VX Nano. There's also lomoco_reconnect that allows reconnecting the mice to the receiver for the cordless mice, again like the MX, VX, and VX Nano.
This Linux support code is unofficial and is not supported by Logitech, but it is at least open-source and was written via clean-room reverse engineering.