expression, noun which may take the genitive case particle 'no'
forever; eternally; for generations to come
Fixed expression meaning something will last or be remembered for all future generations. Often used in strong emotional or dramatic contexts, such as curses, vows, or lasting shame.
I will never forget this shame for generations to come.
It will be talked about forever.
Compound of 末代 (matsudai, 'future generations') + まで (made, 'until'). The exact historical derivation is uncertain, but the phrase is conventionally associated with the idea of something lasting through all posterity.