Match Summary
- Dominic Calvert-Lewin sees a first-half header ricochet off the post.
- Brenden Aaronson fires the hosts ahead with a low strike in the second period.
- Cunha equalises just three minutes later.
- The Yorkshire side continue their best top-flight undefeated streak since the turn of the century.
The Red Devils' disappointing recent struggles continued at Elland Road, but head coach the Portuguese tactician had his Brazilian forward to thank for his side not suffering even more damage against their old rivals.
Dominic Calvert-Lewin headed a first-period effort against the post for the confident home team before the American midfielder applied a cool finish with a low, 62nd-minute shot.
At that stage, Amorim was in the firing line after his side had failed to beat bottom-of-the-table Wolverhampton Wanderers at home earlier in the week.
Nevertheless, against a team who had two days less to recover, Cunha levelled three minutes later when he ran on to a pass from substitute Joshua Zirkzee and slid a shot underneath advancing home 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 several key attacking players due to a combination of injury and national team commitments.
Not that Leeds to sympathise with that given their own lack of preparation time.
Noah Okafor forced a diving save out of visiting goalkeeper Senne Lammens with a audacious overhead kick, and United heads were in hands when Benjamin Sesko, who is finding it hard to make an impact, turned Zirkzee's cut-back wide from six yards out.
The goalscorer, who had a goal disallowed for offside much earlier in the contest, also fired against a post in the dying moments.
The point extends Leeds' unbeaten run to seven games, their best such streak since 2001, and takes them a significant margin clear of the relegation zone.
For the visitors though, it was yet another chance to move into fourth spot, albeit only for a short time, wasted.
Manchester United Breakdown: The Manager's Side Struggle Again
With the Africa Cup of Nations reaching its knockout phase, Amorim could be forgiven 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 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 disappointing results earlier in the campaign.
But without them, Amorim has limited alternatives in attack.
He clearly does not have full faith in youngster Shea Lacey or the much more experienced Joshua Zirkzee, even though the Dutch forward delivered the assist for the equaliser almost instantly after his arrival as a replacement.
That leaves Cunha, who has now scored a small tally in recent outings, and others playing out of their natural positions, alongside Sesko.
On this evidence, the big-money frontman looks similar to previous struggling signings, lacking in confidence and assurance in front of goal.
Sesko's failure to turn home the cross means it is now nine games without a goal for the young striker.
Leeds Analysis: Another Step Towards Survival
After thrilling victories in their previous home games, the arrival of their biggest rivals to Elland Road was a comparatively subdued affair.
True, there were moments of typical atmosphere, but the intimidating edge was not as pronounced as in previous encounters.
The home fans were more preoccupied about their side's inability to get worthwhile possession in dangerous areas for any prolonged period.
The striker's header that struck 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 mistake opened the door for the opener.
Ever so briefly, Leeds' ecstatic fans thought they were about to secure a rare win against Manchester United.
Nevertheless, there is a wider context 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.
Instead, he is now overseeing clear progress.
The task is not completed yet but step by step, the team are getting closer to securing their top-flight status.
Looking Ahead
Leeds 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 Premier League trip to Turf Moor before also beginning their cup journey with a Old Trafford tie.