Luke Shaw, Scott McTominay, Paul Pogba, Harry Maguire and Nemanja Matic were all cautioned by Portuguese referee Artur Dias in United's 2-0 win in the first leg of their UEFA Europa League quarter-final.
It means Shaw, Maguire and McTominay are suspended for the return leg at Old Trafford on Thursday evening, while Pogba is now one booking away from a one-game suspension in Europe.
Dias was criticised for his performance because Granada committed 14 fouls to United's 12 but only received two yellow cards.
Ole Gunnar Solskjær's side have 90 days to pay the fine, which was handed down by UEFA's Control, Ethics and Disciplinary Body on Wednesday.
This article was most recently revised and updated 3 years ago