The single point Man Utd picked up in Ukraine was enough to ensure they secured their lead on top of their group in the Champions league.
A win would have been better but Moyes boys lost the lead they obtained 18 minutes into the match less than 15 minutes to the final whistle.
Danny Welbeck scored United’s first goal by poking in a low ball from Marouane Fellaini.
Shakhtar’s equaliser came through Brazilian striker, Taison with an unstoppable strike from 10 yards.
The equaliser came 14 minutes from time when Nemanja Vidic failed to clear Yaroslav Rakitskiy’s cross, allowing Taison to pounce and fire home.
David De Gea produced a great save late on to stop Taison scoring the winner.
This is only the third game since 2006 that Man Utd have managed only one shot on target in a Champions league game.
David Moyes’s men had offered little threat during the opening 15 minutes of the first-half, with Robin van Persie going closest to troubling the Shakhtar goal with a curling shot that comfortably cleared the crossbar.
United’s early strike came as a surprise and there was a large element of luck about it.
Perhaps the most remarkable moment of the match was in the 66th minute when 39-year-old Ryan Giggs came in for his 145th Champions league match surpassing Raul’s record.
The veteran’s inclusion could not improve the 1-1 scoreline for United.
United’s next match will be on the 23rd October against Real Sociedad at the Old Trafford.