Burnley grabbed a surprise third minute lead after a goalmouth scramble, with Ashley Barnes firing home from close range in the English Premier League encounter on Tuesday.
The visitors could have made it 2-0 when Scott Arfield’s volley clipped the top of the bar.
Manchester United piled on plenty of pressure but Burnley doubled their lead in the 36th minute.
It was all thanks to a superb curling free kick from 30 yards by Belgian midfielder Steven Defour which beat the diving David De Gea.
United manager Jose Mourinho made a double substitution at the interval and Lingard got the home side back in the game with a clever back-heel flick in the 53rd minute.
Mourinho’s side totally dominated the second half but were frustrated by a sturdy Burnley defence until Lingard drove home the equaliser in stoppage time.
In the other games played, Harry Kane’s hat-trick with strikes from Dele Alli and Heung-Min Son gave Tottenham three points ahead of Southampton in a 5-2 victory.
Chelsea also defeated visiting Brighton and Hove Albion 2-0.