Residing on
Aether Paradise, the artificial island that they created, their goal is to care for and provide shelter to Pokémon that have been hurt.
Faba will drop you on
Aether Paradise with Wicke, the second in command here.
After this, however, you watch the news and discover that
Aether Paradise has been taken over by Team Rainbow Rocket, so it is up to you, as the Champion of Alola, to kick them out.
After you've beaten Team Rainbow Rocket, return to Secret Lab A in
Aether Paradise.
Explore the now peaceful
Aether Paradise until you're satisfied, and then talk to the team to set off - next stop, Poni Island!