Key Moments
The Red Devils' poor recent struggles continued at Elland Road, but head coach the Portuguese tactician had his Brazilian forward to thank for the team avoiding even more disappointment against their old rivals.
The Everton loanee directed a first-half effort against the woodwork for the confident hosts before the American midfielder applied a cool finish with a driven, 62nd-minute shot.
With the goal, Amorim was in the firing line after his side had failed to beat bottom-of-the-table Wolves at home earlier in the week.
Nevertheless, against opponents who had less time to recover, the forward levelled three minutes after the opener when he ran on to a pass from introduced Joshua Zirkzee and slid a shot underneath rushing Leeds goalkeeper Lucas Perri.
It was only the South American's fourth Premier League goal since his high-profile summer move and came at a time when Amorim is without several 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.
Noah Okafor forced a full length save out of Manchester United goalkeeper Senne Lammens with a spectacular overhead kick, and visiting heads were in hands when Benjamin Sesko, who is struggling to make an impression, turned his teammate's cut-back wide from close range.
Cunha, who had a goal ruled out for offside much earlier in the contest, also blasted against a post in the dying moments.
The point prolongs the home side's unbeaten run to seven games, their longest 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 opportunity to move into fourth spot, albeit only for a matter of hours, wasted.
With the Africa Cup of Nations reaching its knockout phase, the United coach could be understood for hoping the involved countries make a swift exit.
Current injuries to captain Bruno Fernandes and Three Lions star Mason Mount only heightened the impact the absence of other forwards is having on the team's options.
It's not that the absent players are the solution to all of the club's problems. After all, they were part of the side that suffered poor results earlier in the campaign.
But without them, Amorim has few attacking options.
He clearly does not trust youngster Shea Lacey or the seasoned Joshua Zirkzee, even though the Dutch forward delivered the through ball for Cunha's equaliser almost immediately after his arrival as a substitute.
That leaves the Brazilian, who has now scored a small tally in recent outings, and others operating out of their natural positions, alongside Sesko.
On this evidence, the expensive frontman looks similar to previous underwhelming signings, lacking in confidence and conviction in front of goal.
His 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 bit drab affair.
True, there were instances of typical atmosphere, but the hostile edge was not as pronounced as in other encounters.
The home fans were more concerned about their side's struggle 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 tight first half.
It still felt as though the hosts were finding it tough when a defensive error opened the door for Aaronson.
Ever so briefly, The home delirious fans thought they were about to secure a coveted win against Manchester United.
However, there is a much bigger picture for the manager and the club to deal with.
When they endured a poor run of form earlier in the campaign, many speculated about the manager's future.
In contrast, he is now overseeing clear improvement.
The job is not done yet but gradually, the team are getting closer to achieving their top-flight status.
Leeds have a top-flight trip to Newcastle in midweek, followed by the start of their FA Cup campaign next weekend. The Red Devils face a Premier League trip to Burnley before also beginning their FA Cup journey with a Old Trafford tie.
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