Here is the full list of all 14 Lumini trophies - there are 2 silver, 11 gold and 1 platinum.
Get all the trophies
Bring a dead enemy to the Sanctuary
Play the game in Hard mode
Complete the game
Beat 5 enemies with a bomb
Evolve all Lumini types
Unlock 5 models and concept art in the Extras menu
Play the Lumini theme using the note blocks at the Sanctuary
Killed 10 enemies in the game
Clear an area without defeating any enemy
Beat an area with one purple Lumini in your swarm
Lose 1 lumini
Collect 50 energy plants in the game
Stay at any "Crystal Nest" for at least 1 minute