If Veluza with the "Fillet Memento" Ability gets Knocked Out and has a Splash Energy attached to it, can I move the Splash Energy but still use its effect to return Veluza to my hand?
If you choose to move Splash Energy with Fillet Memento, Veluza will not be returned to your hand since it no longer has Splash Energy attached.
Source: TPCi Rules Team (2024-01-11)
What happens if a Pokemon with Splash Energy attached is Knocked Out by an attack while Lost City stadium is in play?
The order of resolution for the effects can be decided by the owner of the Pokemon with Splash Energy attached to it. So the Pokemon can either go to the Lost Zone and stay there, or use Splash Energy to return the Pokemon to your hand.
Source: TPCi Rules Team (2022-09-08)
If Greninja has Splash Energy attached and is Knocked Out by damage from my opponent's attack, do I put the Greninja card into my hand or to the Discard Pile?
No, you put all the Pokemon in the evolution line into your hand, including Mega and Break evolutions. Any other cards attached such as Tools or Energy are discarded.
Source: BREAKpoint FAQ (2016-01-23), TPCi Rules Team (2016-02-11)