Ah, *that's* what's making these damn fights so hard! I keep coming back with bigger and bigger ships, more specialised builds to fight them, and getting stiffed with only 1/4 of my fleet in any engagement. I just cannot handle the larger bounties because of this.
Wait how large is your fleet if you can't deploy over a quarter of it in a fight where you're capped at 40% DP balance?
...Anyway. The first thing you want to have in order to win fights like those is to capture sonar buoys in order to raise your Deployment Points to at least be on more equal footing. You're going to need either fast destroyers or Frigades for that.
The second thing you're going to have to do in order to win is to have a fleet that deals the right kind of damage. Remnants have great shields and tend to keep them up almost all the time. You need large amounts of kinetic damage coming from missiles, kinetic weapons, fighters/bombers or all at once and then you need a follow up energy/high explosive means of finishing off the enemy with a quickness.
The third thing you got to keep in mind is target saturation. If most of the ships use direct fire weapons to deal damage you will come to a point where a good number of them will NOT be able to fire effectively at a single target (unless they are VERY mobile and flank). The best way to solve this is to LAYER your battle line to have a frontline focused on flux efficient weaponry, a midline focused on either high mobility to flank or indirect fire support (think Salamander+Squall/Hurricane+Harpoon Gryphon) and a backline made of carriers to provide concentrated fire upon the enemies on the frontline.
Fourth and last thing that helps you with remnants is mobility. All remnant ships are very mobile and can quickly force your ships to fall back and if that happens the slowest ships will fall behind and get mowed down faster than you can save them. Make sure you can either muster enough layered firepower to make sure remnants can't advance on your slower ships to circlebeat then to death or discard the concepts of slow, lumbering capital ships entirely and focus on a mobile strike force able to shave off the less menacing Remnants to then concentrate on what is left more effectively.
Do you need to apply every single one of these steps? Not really, but they do stack and make fighting Remnant Ordos (and the other two endgame threats) a lot easier.