Shadow Latias

Latias is the more defensive of the two Hoenn Dragon/Psychic Dragons, making it the less valuable of the two when it comes to raids. But with the Shadow boost it's... pretty mediocre. The problem is the fact that Dragon and Psychic are both types that have obscenely strong Pokemon, so it's very hard to hit genuine viability on either side. Still, it's an okay choice for players who don't have better options.

Best PvE Offensive Moveset

• Dragon Breath is preferred over Zen Headbutt for yielding higher cycle DPS and being much more dodge-friendly.
• Charm doesn't have much use on Shadow Latias, especially without STAB. 
• Outrage is the preferred charge move. It partially makes up for Shadow Latias's lower Atk compared to Latios.
• Psychic has synergy with Zen Headbutt and makes Shadow Latias a decent tanky Psychic attacker.
• Thunder is sub-par move. TM this move.

Dragon Breath grants supreme energy gains and still good damage, while Zen Headbutt is one of the worst moves in the game.

Aura Sphere is a Fighting-type clone of Hydro Cannon, making it one of the best moves in the game due to its cheap cost and high DPE. Mist Ball, Latias's signature move, is an incredibly powerful STAB Charged Attack that can occasionally leave an Attack debuff on the opposing Pokemon. Outrage can be ran instead of Mist Ball if more Dragon-type damage is desired, as Mist Ball and Aura Sphere can struggle to take down Psychic-type opponents, but it leaves Latias completely vulnerable to Fairy types instead. Psychic has very poor DPE and is not worth being slightly cheaper than Mist Ball. Thunder is an okay coverage move, but STAB Mist Ball has just about the same power down a type effectiveness.