There were no goals to rebuild the Republic, to rebuild the Jedi order.
I really disagree here. The Rebels definitely wanted the Empire to be gone because they were tyrants. Of course they’d want something better in charge. Not that they wanted to rebuild the actual Republic.
Also, Yoda tells Luke to restore the Jedi.
And I’m speaking as the OP of the post who keeps saying that nothing lasts forever.
Yoda never tells Luke to restore the Jedi. Yoda’s goal is to see Luke completely trained as a Jedi Knight. His task is to defeat Vader and the Emperor. Luke takes his own path to do that by redeeming his father his Anakin kills Palpatine. There is nothing discussed about the future. Not for Luke with the Jedi or with Leia and what will replace the Empire. That all happened in Legends. There is nothing in the OT that gives any goal behind the end of the Empire. That is the end game of the OT - the destruction of the Empire.