Ex-United man Henrikh Mkhitaryan came on at the break as both teams started the second half slowly, with the Old Trafford faithful getting on their feet when the returning Eric Bailly tackled and Rojo saw a fizzing effort tipped over.
But the lead lasted just 75 seconds as Lingard stole in after Rojo's long ball concerned Arsenal, with the defence's inability to get control punished.
There was also a first Premier League start for 19-year-old Diogo Dalot.
"But we score four goals and even in matches like today where we play well, we always shoot ourselves", said Mourinho. He has yet to field the same lineup this season and took the number of changes he has made to his starting team to 46 after switching seven players for the Arsenal game.
"The best (response) is for the next match - cut the hair for Matteo and this problem is finished, like Fellaini", Emery said. When we are winning, it was a good moment, but they equalised very quickly.
3:00 Highlights from Fulham's draw with Leicester in the Premier League
Paul Pogba has seen as many questions asked of a supposed battle with Mourinho as he has his form this season, while rift talk has also surrounded the likes of Antonio Valencia and Anthony Martial. "I think we believe as a squad. Gary Neville must be thinking now Manchester United has a right-back for 10 years, a very good right-back for 10 years". "We are going to wait for what the doctor tells us but it is maybe a big injury", Emery said.
Aaron Ramsey also came off with an ankle injury at Old Trafford, but Emery said "it's smaller than Rob's" and that the Wales worldwide will also be assessed on Friday.
Though the goal restored Arsenal's lead at Old Trafford, their joy was short-lived.
'And as footballers we just enjoy our football and want to win games.
Their firepower was badly missed as Liverpool laboured in the first-half and went behind early in the second.
Ranieri, back in the English top flight for the first time since parting ways with Leicester City in 2017 having taken them to a fairytale title, said Mourinho was the first manager to welcome him back.
REx Spacecraft To Start Studying Bennu Asteroid After Reaching Goal
OSIRIS-REx is NASA's first asteroid sample return mission, and the largest sample return since Apollo returned moon rocks. Another reason Bennu is chosen among over 500,000 known asteroids in the Solar System is its carbon-rich composition.