Mirallas admitted that the challenge deserved a red card, and Smith thinks that the official owes the Uruguayan forward an explanation.
"[Suarez] deserves more than sympathy, he deserves an apology," said Smith in his Liverpool Echo column.
"And for me it should come from referee Phil Dowd who had ages to make up his mind about the incident and who should, have course, pulled out a red card.
"Phil Dowd surely lacked the conviction to do it [at Goodison Park]?"
Liverpool take on Hull City on Sunday.