Energy » Aurora Energy | Abilities » Special Transfer
If I use Dusknoir's "Special Transfer" Ability to move an Aurora Energy to another Pokemon, do I have to discard a card from my hand per Aurora Energy's text?
Special Transfer is "moving" the Special Energy to another Pokemon, not "attaching" it like you would from your hand. So since the Aurora Energy is already in play you do not have to discard a card from your hand in this situation.
Source: Brilliant Stars FAQ; TPCi Rules Team (2022-02-24)
Energy » Double Turbo Energy | Abilities » Special Transfer
Can I use Dusknoir's "Special Transfer" Ability after I attack but before my turn ends to move Special Energy cards (such as Double Turbo Energy) off of my Active Pokemon?
No, once your attack ends, your turn ends.
Source: Brilliant Stars FAQ; TPCi Rules Team (2022-02-24)