"Live neutral reverse" and "hot/neu reverse" difference?
You can reverse engineer the meanings of the lights -- red means "hot is grounded (instead of live)", first green means "current flows between hot and neutral in either direction", second green means "current flows between hot and ground in either direction".

Most similar testers don't bother provide a key for the unlikely situation where all three lights are lit. It would happen when both neutral and ground are hot, and hot is grounded. "LIVE NEUTRAL REVERSE" doesn't seem like a great description of this but I'm not sure what would be. It would never happen unless the whole house is EXTREMELY badly miswired, or something has gone implausibly wrong with the wiring of the outlet.