Varian wasn't wearing his goggles when he and Rapunzel are on the airship with a barrel of Quirineon that they brought it back to the airship. But after Rapunzel told Varian to grab his alchemy belt to neutralize the Quirineon, his goggles' are back on his head.
Varian is wearing his gloves at the celebration but his gloves are melted off when he touched Rapunzel while she was chanting the Decay Incantation, although it's possible that he had a spare pair.