Key Moments
The Red Devils' disappointing run of form continued at Elland Road, but manager Ruben Amorim had his Brazilian forward to thank for the team avoiding even more damage against their old rivals.
Dominic Calvert-Lewin directed a first-period attempt against the woodwork for the confident hosts before Brenden Aaronson applied a cool finish with a low, 62nd-minute shot.
With the goal, the United boss was in the firing line after his side had been held by struggling Wolverhampton Wanderers at home earlier in the week.
Nevertheless, against a team who had less time to prepare, the forward levelled three minutes after the opener when he latched onto a pass from introduced Joshua Zirkzee and guided a shot underneath rushing home goalkeeper Lucas Perri.
It was only the South American's fourth goal since his high-profile summer move and came at a time when Amorim is without four key attacking players due to a combination of injury and national team commitments.
Not that you would expect the hosts to care about that given their own lack of preparation time.
The Swiss attacker forced a full length save out of Manchester United goalkeeper Senne Lammens with a spectacular overhead kick, and United heads were in hands when Benjamin Sesko, who is finding it hard to make an impact, turned his teammate's cut-back wide from six yards out.
The goalscorer, who had a goal disallowed for offside much earlier in the match, also fired against a post late on.
The point extends Leeds' unbeaten run to seven matches, their best such streak since 2001, and takes them eight points clear of the relegation zone.
For the Manchester United though, it was yet another opportunity to move into the Champions League places, albeit only for a short time, wasted.
With the AFCON reaching its latter stages, the United coach could be understood for hoping the involved countries make a swift exit.
Current injuries to skipper Bruno Fernandes and England international Mason Mount only heightened the impact the absence of other attackers is having on Amorim's options.
It's not that the absent players are the solution to all of United's problems. After all, they were part of the side that suffered poor results earlier in the campaign.
But without them, the boss has few alternatives in attack.
He evidently does not trust youngster Shea Lacey or the much more experienced Zirkzee, even though the Netherlands forward provided the through ball for Cunha's equaliser almost instantly after his introduction as a replacement.
That leaves the Brazilian, who has now scored three goals in recent outings, and others operating out of their preferred positions, alongside Sesko.
On this evidence, the big-money frontman looks no better than previous struggling signings, lacking in belief and assurance in front of goal.
Sesko's failure to turn home Zirkzee's cross means it is now nine games without a goal for the new signing.
After thrilling victories in their previous home games, the arrival of their biggest rivals to home was a comparatively subdued affair.
True, there were moments of expected atmosphere, but the hostile edge was not as pronounced as in other fixtures.
The home fans were more preoccupied about their side's struggle to get sustained possession in advanced areas for any length of time.
The Calvert-Lewin header that clipped the post was an isolated moment of quality in a congested first half.
It still felt as though the hosts were finding it tough when a mistake opened the door for the opener.
Ever so briefly, The home delirious fans thought they were about to secure a rare win against Manchester United.
However, there is a much bigger picture for Daniel Farke and the club to deal with.
When they suffered a difficult run of form earlier in the season, many thought about the manager's future.
In contrast, he is now masterminding significant progress.
The task is not completed yet but step by step, Leeds are getting closer to achieving their survival.
Leeds have a top-flight trip to St James' Park in midweek, followed by the start of their FA Cup campaign next weekend. The Red Devils face a league trip to Turf Moor before also entering their cup journey with a home tie.
Elara Vance is a technology strategist with over a decade of experience in IT consulting, specializing in digital transformation and cybersecurity solutions.