Key Moments
Manchester United's poor run of form continued at Elland Road, but manager the Portuguese tactician had his Brazilian forward to thank for his side avoiding even more damage against Leeds.
Dominic Calvert-Lewin headed a first-half attempt against the woodwork for the in-form hosts before the American midfielder applied a cool finish with a driven, 62nd-minute shot.
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 a team who had two days less to prepare, Cunha restored parity three minutes later when he ran on to a pass from introduced the Dutchman and guided a finish underneath rushing 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 Amorim is without four key attacking players due to a mix of injury and international duty.
Not that the hosts to sympathise with that given their own tight schedule.
Noah Okafor forced a full length save out of visiting goalkeeper Senne Lammens with a spectacular overhead kick, and United heads were in hands when the Slovenian striker, 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 ruled out for offside much earlier in the contest, also blasted against a post late on.
The draw extends Leeds' unbeaten run to seven matches, their best such streak since over two decades ago, and takes them a significant margin clear of the drop zone.
For the Manchester United though, it was yet another chance to move into fourth spot, albeit only for a short time, wasted.
With the Africa Cup of Nations reaching its latter stages, the United coach could be forgiven for hoping the participating nations make a pretty quick exit.
Current injuries to skipper Bruno Fernandes and England international Mason Mount only heightened the impact the unavailability of other forwards is having on Amorim's options.
It's not that the absent players are the answer to all of the club's problems. After all, they were part of the side that experienced poor results earlier in the campaign.
But without them, the boss has limited alternatives in attack.
He evidently does not trust youngster Shea Lacey or the much more experienced Joshua Zirkzee, even though the Dutch forward delivered the through ball for the equaliser almost instantly after his introduction as a replacement.
That leaves Cunha, who has now scored three goals in recent outings, and others operating out of their preferred positions, alongside Sesko.
On this showing, the expensive frontman looks no better than previous underwhelming 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 new signing.
After thrilling victories in their last few home games, the arrival of their fiercest rivals to Elland Road was a comparatively subdued affair.
True, there were instances of expected fervor, but the hostile edge was not as evident as in other fixtures.
Leeds' fans were more concerned about their side's inability to get sustained possession in dangerous areas for any prolonged period.
The striker's header that struck the post was an isolated moment of threat in a tight first half.
It still felt as though the hosts were struggling when a mistake opened the door for the opener.
Ever so briefly, The home ecstatic fans thought they were about to secure a coveted win against Manchester United.
However, there is a much bigger picture for Daniel Farke and Leeds to deal with.
When they suffered a poor run of form earlier in the campaign, many speculated about the manager's future.
Instead, he is now overseeing clear progress.
The job is not done yet but gradually, Leeds are getting nearer to securing 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 Premier League trip to Turf Moor before also beginning their FA Cup journey with a Old Trafford tie.
Eleanor Hayes is a data scientist and business analyst with over a decade of experience in transforming raw data into actionable insights.