It can't mean all that at the same time. Either it's "age enduring" or without end....but it can't be both.
I am of the belief that Jesus was warning the Jews in Judea about the impending doom of the Destruction of Jerusalem. With that perspective, all Scripture fits together and makes a lot more sense compared to the view you're supporting.
------->When we look at historical context, we remember that Jesus clearly warned people about the coming judgement against Israel. At the beginning of Matthew 24 Jesus explicitly sets the stage for the coming destruction, warning them that even the temple will be destroyed (“not one stone will remain on another, it will all be thrown down.” V. 2) Jesus goes so far as to even tell them what the signs of the coming judgment (the end of the “age”) would look like: wars, rumors of wars, famine, earthquakes, etc. As Jesus describes this “great tribulation” with horrible persecution, he advises them that if they want to escape death at the hands of the Romans, they would need to flee to the hillsides when they see the “signs of the times” (verse 16).
This actual event and the fulfillment of Jesus’ warning came in AD70 when Roman armies destroyed Jerusalem along with her temple. Presumably, those who heeded Jesus’ warning in Matthew 24 of fleeing to the hillside would have survived the advancing destruction of the Roman army… but those who didn’t?
Well, those folks were killed. And guess what we know actually happened to their bodies? They were burned in… “hell”, just outside of Jerusalem– exactly as Jesus had warned. This makes the teachings of Jesus very practical when considering the historical and grammatical context: those who listened to him would live, and those who didn’t would end up burned in the Valley of Hinnom. While we don’t know for sure, it is highly likely that some/many of the people in the audience when Jesus warned “how will you escape going to the Valley of Hinnom?” actually ended up dead and burned in Gehenna by the Romans.~
Read more at
What Jesus Talked About When He Talked About Hell