LG G2 reportedly will receive Android 5.1.1 within the next two months
While no specific date was mentioned for the update, Android 5.1.1 is expected to start rolling out some time in the next two months. Carrier branded versions will have to wait for testing to be done and some carriers do take longer than others to complete this process.
LG G2 owners have had to watch their phone grow old gracefully while getting replaced by first the LG G3, and then by the LG G4. With this update, the old boy will be rejuvenated, capable of doing things that it couldn't do even when it was younger.
source: AndroidPit (translated) via AndroidAuthority