General synonyms:
* Future generations
* Descendants
* Offspring
* Successors
* Heirs
* Progeny
More specific synonyms:
* Future (if referring to time)
* The ages to come (if referring to a historical context)
* The world to come (if referring to a spiritual or religious context)
The best synonym will depend on the context of your writing. For example, if you're talking about the legacy of a famous artist, "descendants" might be a suitable synonym. But if you're talking about the long-term effects of climate change, "future generations" might be more appropriate.