The answer is Saturday and Friday.
Yesterday
Yesterday
Two Days Before the Day After Tomorrow was created on 2005-10-19.
Today is Sunday. Monday is the day before two days after today (the day before tomorrow). Monday is the day before Tuesday. Two days after today is Tuesday.
Friday
Tomorrow
Tomorrow
Saturday.
Two days before the day after tomorrow
Tomorrow.
Sunday
The day must be Thursday because "the day after tomorrow" means two days into the future and two days before Sunday is Friday. that means that yesterday would have been Thursday.
Friday