Why does your Lucario have Heal Pulse? It heals your opponent in single battles. You should replace it with something like ExtremeSpeed, a Steel-type move, or a pulse move.
Aggron's Special Attack isn't very good, making Thunderbolt a bad option for it. Also, Rock Smash is pretty weak. You should replace those with Earthquake and Rock Slide.
Assuming you want to use Mega Blastoise, you should replace Strength with Dark Pulse, and Waterfall with Flash Cannon, Ice Beam, or Blizzard.
Delphox's Attack stat is subpar, so Flame Charge isn't really a good move for it. You should consider Flamethrower or Mystical Fire instead. Also, Blast Burn is horrible, as you have to recharge after using it. Why don't you replace it with Psyshock or Shadow Ball?
Your Mewtwo seems to be struggling against its fellow Psychic types. Why don't you replace Barrier with something like Thunderbolt, Flamethrower, or Ice Beam?
Tyrantrum shouldn't have Draco Meteor. Its Special Attack is pretty bad, and Draco Meteor only makes it even worse. Replace it with Dragon Claw. And if you want more power, you could replace Rock Tomb with Rock Slide, Stone Edge, or Head Smash.
While Blizzard is a pretty good move, Avalugg's Special Attack is terrible. Also, Ice Ball is pretty unreliable. Instead, you should consider moves like Gyro Ball, Rock Slide, Stone Edge, Earthquake, Crunch, or Recover.
Chesnaught's Special Attack is subpar, and Mud Shot is pretty weak, so you should replace it with Hammer Arm or Brick Break. And maybe you should replace Bite with something like Leech Seed, Pain Split, or a physical coverage move like Shadow Claw, Earthquake, Stone Edge, Dragon Claw, or Poison Jab.
And since you haven't evolved Poliwhirl, why don't you make it an HM slave? It can learn Strength, Rock Smash, and Waterfall.