Lore-wise, TFA basically follows the plot of the game FTL:
A giant evil humano-centric Rebellion creeps in from the outer edges of the galaxy, it strikes deep into the good ethnically-diverse Federation with an incredible super-weapon and only an old shamble of the federal fleet is left to retaliate. In desperation, they send an old ship with a rookie crew across the galaxy to deliver vital information to their leaders who have fallen back to a fortified system; the message containing the only hope of Federation's survival.
Replace "Rebellion" with "Remnant", "Federation" with "New Republic", and "Leaders" with "Jedi" and you have the basic conflict of TFA.
I think that in continuation of the preceding movies the New Order should have been called the "Imperial Resistance" or "The New Rebellion" or something. I think if they had been, the Force Awakens movie would have made a lot more sense.
The Rebels won. They had defeated the Empire and formed the New Republic, yes? Why couldn't they still be the good guys? Did the movie-makers think we wouldn't empathize with a legitimate governmental entity?
The Empire lost. What was left was the Remnant in all but name; a group of fanatics, separatists, and terrorists who built a giant gun to destroy the capital of the New Republic and throw an established popular government into chaos.
Just imagine the movie, everything is the same except: The New Order is called the Resistance, and the Resistance characters are agents of the New Republic. Rebels against an established government can still be the bad guys. Anyone who's played FTL knows that. I think if they had made it clearer, the movie would have had more impact. The Resistance isn't fighting to restore the Old Republic; they're fighting to save the New Republic that they worked so hard to achieve all those years ago. The New Order isn't the same as the Empire; it's illegitimate, smaller, more volatile. The New Order is fighting to overthrow the established good government and bring back the Galactic Empire.
I think if they had named the factions after what they were , I would have had to have done a lot less reading after the movie to find out whether or not the Rebels from the first three movies had actually won like we thought they did.
(Edit: Just my two-cents. There are still a few things about TFA that just get me and they get more pronounced every time I see it.)
Edited by OneKelvin