This interpretation is so unlikely that I'm sure you really meant "When glasses of ice-cold beer had been passed/handed to everyone..." In that case, both passed and handed are perfectly possible.Your sentence says there's only one glass of beer and it goes around the room and only the senior member gets to have a drink.
Who knows what goes on inside a secret society?This interpretation is so unlikely ...
You could use either.When a glass of ice-cold beer was [passed, handed] to each member, a senior member gave a toast.
Any difference between the two verbs? Would you use one over the other consciously?