To be fair to the OP it looks like they did read the documentation, but just misinterpreted it. Easily done, I think: openHAB is complicated, the documentation is therefore complicated, and if English isn’t your first language there’s added complication.
If I know the answer to the question I prefer just to give working examples, with a pointer to the documentation for further reading. That way they can get the satisfaction of something working, and if they’re so inclined they can read on to understand and extend it.
Are you sure, or is that your UI does not update?
Your events.log should tell you what happens to the Group when your Items change.
Some browser/app/UI combinations are not so good at spotting Group state changes.
while creating some scenarios and controlling via event.log it looks like, that the status goes “off”, if something went offline (which is fine), but when the device comes back online - the status of the group does not change back to “on”. If the status of the group stays off, whatever happens with the devices
may be, i need to change something on the item definition of the group?
When this happens, is there another device in your Group which is OFF? Your Group will ONLY be ON if ALL your devices are ON, but will be OFF if ANY of your devices are OFF.