Lutakon learnset

Level-Up
1 - Absorb
1 - Fairy Wind
1 - Gust
1 - Grassy Glide
1 - Growth
1 - Poison Powder
1 - Sleep Powder
1 - Stun Spore
6 - Sand Attack
11 - Grassy Glide
17 - Mega Absorb
22 - Mud Slap
27 - Leech Seed
33 - Earth Power
38 - Giga Drain
44 - Earthquake
49 - Moonblast
50 - Synthesis (becomes Gaia Recovery in Awakened form)
55 - Solar Blade
58 - Aromatherapy
66 - Leaf Storm
75 - Healing Wish

Egg Group: Undiscovered

TM
00 - Take Down
03 - Psyshock
04 - Calm Mind
05 - Bulk Up
06 - Toxic
07 - Hyper Beam
08 - Giga Impact
09 - Hidden Power
11 - Rain Dance
12 - Sunny Day
14 - Taunt
15 - Ice Beam
16 - Blizzard
17 - Venoshock
20 - Protect
22 - Safeguard
23 - Frustration
24 - Solar Beam
25 - Thunderbolt
26 - Thunder
29 - Return
31 - Bush Claws
32 - Psychic
34 - Double Team
35 - Swift
36 - Flamethrower
37 - Sludge Bomb
38 - Fire Blast
39 - Rock Tomb
42 - Facade
43 - Trailblaze
44 - Rest
48 - Grassy Terrain
52 - Foul Play
54 - Focus Blast
55 - Energy Ball
59 - Stealth Rock
60 - Play Rough
65 - Drain Punch
69 - Earth Power
70 - Zen Headbutt
71 - Stone Edge
73 - Thunder Wave
77 - Hex
78 - Bulldoze
80 - Rock Slide
81 - Megahorn
83 - Natural Gift
84 - Poison Jab
87 - Sleep Talk
88 - Snore
90 - Substitute
91 - Flash Cannon
92 - Trick Room
94 - Surf
96 - Nature Power
99 - Dazzling Gleam

Tutor
Air Slash
Dig
Defog
Encore
Giga Drain
Gravity
Hurricane
Hydro Pump
Hyper Voice
Ice Punch
Icy Wind
Imprison
Leech Seed
Meteor Beam
Pain Split
Power Gem
Skill Swap
Signal Beam
Superpower
Tailwind
Thunder Punch
Triple Axel
Wood Hammer