Mourinho is already appealing against a charge of using "abusive, insulting or improper language" after allegedly swearing at a television camera in Portuguese following United's victory over Newcastle United before the international break.
Other than being goaded by Ianni, Mourinho was the subject of abusive chants from a section of the Chelsea crowd following the flash point and he responded by showing three fingers for each of the Premier League titles he won with the Blues.
Sarri has called on those responsible for singing "f*** off Mourinho" to show more respect to the most successful manager in Chelsea's history.
"Mourinho here has won and so I think that we need to respect him and to respect everybody who has won a trophy for the club," said Sarri.
Sarri was not only upset with Ianni, but also annoyed by the way his team played in the second half after going in at the break ahead through Antonio Rudiger's header.
Anthony Martial scored two second-half goals that looked destined to inflict Sarri's first defeat as Chelsea head coach until substitute Barkley netted his first Stamford Bridge goal in the sixth minute of injury time.
"I thought we could win the game and for 60 minutes we were in complete control," said Sarri. "But then suddenly after their goal, we lost control of the match because we stopped playing our football and we started to play another game of football with the long ball, the second ball and we are not used to playing this sort of football."
The dramatic equaliser completed a memorable fortnight for Barkley, who had scored his first ever Chelsea goal in the victory away at Southampton and then played well in both of England's Uefa Nations League games against Croatia and Spain.
"Getting in the England side and putting in two good positive performances there, and, today, with my first goal at Stamford Bridge was fantastic for me," said Barkley.
Barkley has been working hard to add goals to his game, while at the same time completing the lengthy process of having all of his tattoos removed. The former Everton man used to have tattoos covering his left arm, but now has no artwork left on his body after deciding he had grown out of them. Telegraph