Key Moments
The Red Devils' poor run of form continued at Leeds' fortress, but manager Ruben Amorim had his Brazilian forward to thank for his side not suffering even more damage against their old rivals.
The Everton loanee directed a first-half effort against the woodwork for the confident home team before the American midfielder applied a cool finish with a driven, 62nd-minute effort.
At that stage, Amorim was in the firing line after his side had been held by struggling Wolves at Old Trafford earlier in the week.
However, against opponents who had two days less to prepare, the forward levelled three minutes later when he latched onto a through ball from introduced the Dutchman and guided a shot underneath advancing Leeds goalkeeper Lucas Perri.
It was only the Brazilian's fourth Premier League goal since his high-profile summer move and came at a time when the manager is without four key attacking players due to a mix of fitness issues and national team commitments.
Not that you would expect Leeds to sympathise with that given their own tight schedule.
The Swiss attacker forced a diving save out of Manchester United goalkeeper Senne Lammens with a audacious overhead kick, and United heads were in hands when Benjamin Sesko, who is struggling to make an impact, turned Zirkzee's cut-back wide from six yards out.
The goalscorer, who had a goal ruled out for offside much earlier in the contest, also fired against a post in the dying moments.
The point extends the home side's unbeaten run to seven matches, their longest such streak since over two decades ago, and takes them eight points clear of the drop zone.
For the Manchester United though, it was yet another opportunity to move into fourth spot, albeit only for a short time, wasted.
With the Africa Cup of Nations reaching its knockout phase, Amorim could be understood for hoping the participating nations make a swift exit.
Existing injuries to skipper Bruno Fernandes and England international Mason Mount only exacerbated the impact the absence of other forwards is having on the team's options.
It's not that the missing pair are the solution to all of United's problems. After all, they were part of the side that experienced disappointing results earlier in the campaign.
But without them, Amorim has limited attacking options.
He evidently does not trust youngster Shea Lacey or the much more experienced Joshua Zirkzee, even though the Dutch forward provided the assist for Cunha's equaliser almost instantly after his arrival as a replacement.
That leaves the Brazilian, who has now scored three goals in five games, and others operating out of their natural positions, alongside Benjamin Sesko.
On this showing, the big-money frontman looks no better than previous underwhelming signings, lacking in confidence and assurance in front of goal.
His failure to turn home the cross means it is now a long run without a goal for the young striker.
After thrilling victories in their previous home games, the arrival of their biggest rivals to home was a bit drab affair.
True, there were instances of typical fervor, but the intimidating edge was not as evident as in previous fixtures.
Leeds' fans were more concerned about their side's inability to get sustained possession in advanced areas for any prolonged period.
The Calvert-Lewin header that clipped the post was an rare moment of quality in a congested first half.
It still felt as though Leeds were finding it tough when a defensive error opened the door for the opener.
Ever so briefly, Leeds' delirious fans thought they were about to secure a coveted win against their old foes.
Nevertheless, there is a wider context for Daniel Farke and Leeds to deal with.
When they endured a poor run of form earlier in the season, many thought about the manager's future.
Instead, he is now masterminding clear improvement.
The job is not done yet but step by step, the team are getting nearer to achieving their top-flight status.
The Yorkshire club have a top-flight trip to St James' Park in midweek, followed by the start of their domestic cup campaign next weekend. Manchester United face a league trip to Burnley before also beginning their FA Cup journey with a Old Trafford tie.