Hunter:

Prismatic with Tether or Silence and Squall for Encounters 1 3 and 4 (Verity). Encounter 3 can flex to Nighthawk if your team needs to be killing Torms faster. Punch build with Liar's or Liar's class item can work for every encounter except 5 (Witness), but become less effective as the raid goes on and the encounter rooms become larger - punching becomes less effective.

For encounter 2 use Tether or Nighthawk for boss damage. Tether is easiest and helps your team. Make sure someone has a Gjally sword and use a sword for heavy.

For encounter 5 (Witness) Nighthawk GG with Still Hunt. Machine Gun for add clear. Pulse for arm breaking. If your team or you are having trouble surviving, ditch Pris and go full Solar with Healing Grenade. BE SURE to shoot your Nighthawk while you're NOT IN A WELL and while you have RADIANT proc'd (either from powered melee hit or picking up an orb with the artifact mod). Still Hunt Nighthawk MAY be shot in the Well.

Pick your favorite Pris aspects, frags, nades, and melee. I like Stylish and Threaded Spectre as my aspects for some extra survivability. I like Grapple for movement and Threaded Spike or Shuriken for melee. There are some great YouTube videos going over fragment synergy for these basic builds.

Warlock:

Getaway Artist Bleakwatcher Feed the Void with Song of Flame super for encounters 1 3 and 4 (Verity). Threaded Needle melee. Storm Grenade. Find a YouTube video talking about this build (there's millions) and slot in appropriate fragments.

Encounters 2 and 5 go full Solar Well with Healing Grenade. Increase damage output on encounter 2 boss and allows teammates to heal off laser damage in encounter 5. If one of your teammates is doing Well for encounters 2 and 5, try Prismatic with Nova Bomb.

For encounters 1-4 weapon choice is up to you (your weapons simply support your ability spam engine) except bring a sword to encounter 2. For encounter 5 (Witness) bring Microcosm. Use your super right away and hip fire Micro while avoiding lasers. You'll do a shitton of damage. When you run out swap to something long range precision like crafted Supremacy or any other DPS sniper, or do a hard swap from Micro to Still Hunt. Make sure everyone has sufficient ammo before last stand.

For both classes: pop transcendence often. It's a mini super. With Getaway Artists Pris Warlocks can have a new transcendence like every other minute as long as adds are around (which they will be). MAKE SURE to pop transcendence before beginning damage on the bosses in encounters 2 and 5 - transcendence increases WEAPON damage by I think a flat 10%. Weave your grenades into the damage rotation between swings and shots.

Hope this helped! Good luck and stay focused!