Key Moments
The Red Devils' disappointing run of form persisted at Leeds' fortress, but head coach the Portuguese tactician had his Brazilian forward to thank for his side avoiding even more disappointment against their old rivals.
The Everton loanee directed a first-period effort against the woodwork for the confident home team before the American midfielder applied a cool finish with a low, 62nd-minute effort.
At that stage, 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 recover, Cunha restored parity three minutes later when he ran on to a pass from introduced the Dutchman and slid a shot 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 Leeds to sympathise with that given their own tight schedule.
Noah Okafor forced a diving 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 close range.
The goalscorer, who had a goal ruled out for offside much earlier in the match, also fired against a post late on.
The point extends the home side's unbeaten run to seven matches, their best such streak since 2001, and takes them eight points clear of the drop zone.
For the visitors though, it was yet another chance to move into the Champions League places, albeit only for a matter of hours, squandered.
With the Africa Cup of Nations reaching its knockout phase, Amorim could be understood for hoping the participating nations make a pretty quick exit.
Current injuries to captain Bruno Fernandes and Three Lions star Mason Mount only exacerbated the impact the unavailability of other attackers is having on Amorim's squad.
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 suffered disappointing results earlier in the campaign.
But without them, the boss has few alternatives in attack.
He evidently does not have full faith in youngster Shea Lacey or the seasoned Joshua Zirkzee, even though the Netherlands forward delivered the assist for the equaliser almost immediately after his arrival as a substitute.
That leaves Cunha, who has now scored three goals in recent outings, and others operating out of their natural positions, alongside Benjamin Sesko.
On this showing, the expensive frontman looks similar to previous underwhelming signings, lacking in confidence and conviction in front of goal.
Sesko's failure to turn home the cross means it is now a long run without a goal for the new signing.
After thrilling victories in their previous home games, the arrival of their biggest rivals to Elland Road was a bit drab affair.
True, there were moments of typical atmosphere, but the hostile edge was not as pronounced 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 struck the post was an rare moment of threat in a congested first half.
It still felt as though the hosts were finding it tough when a mistake opened the door for Aaronson.
For a short moment, The home ecstatic fans thought they were about to secure a rare win against their old foes.
Nevertheless, there is a much bigger picture for the manager and the club to deal with.
When they endured a difficult run of form earlier in the campaign, many thought about the manager's position.
Instead, he is now overseeing clear improvement.
The job is not completed yet but gradually, the team are getting nearer to securing their top-flight status.
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 entering their FA Cup journey with a home tie.
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