Complex sentence: The last of this award was given out in 1998 to Green Day for their song Good Riddance (Time of Your Life) after which some artists and videos which would have been eligible for it became eligible for MTV Video Music Award for Best Rock Video.
Split into simpler sentences: The last of this award was given out in 1998 to Green Day for their song Good Riddance (Time of Your Life). The award stopped being awarded after some artists and videos within this nomination genre became eligible for MTV Video Music Award for Best Rock Video.