This is according to the Press Association’s chief football writer Simon Peach, who understands disciplinary proceedings have not been opened by European football’s governing body because there was no mention of the chants in the match officials’ reports.
Offensive songs could be heard during last Thursday’s match but Manchester United will not be punished. The two north-west rivals will go head-to-head again in the second leg of their Europa League tie later this week at Old Trafford.
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United were quick to condemn the behaviour of those supporters who chanted about the two disasters.
In a statement - per the Mirror - the Red Devils said the chants "have no place in the game".
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“It has always been the position of Manchester United that chants of this nature, which refer to historical tragedies, have no place in the game and do not reflect the values the club holds,” the statement read.
“We are in discussion with our fans’ groups to seek their support in preventing this type of behaviour in the future.”
Ray Houghton: Chants were 'dreadful'
Former Liverpool midfielder Ray Houghton - speaking on BBC Radio 5 Live last week - described the chants as “dreadful” - but acknowledged that certain members of the Anfield faithful had been guilty of similar chants, relating to the 1958 Munich Air Disaster, over the years.
"It has to come out of our game," Houghton said. "There were people in the crowd who lost loved ones at Hillsborough and that's really hard to take.
"It's something we don't want to hear. It's happened in the past with Liverpool fans to Manchester United with what happened at Munich. It's uncalled for.
"When you lower yourself to that level [of those fans], it's quite remarkable.
"It should have been a night of celebration - they haven't played each other in a European tie before. The fans should have been getting behind their own team. When you stoop as low as they did last night, for me, it's dreadful."
Dion Dublin also condemns chants
Dion Dublin, the ex-Manchester United striker, also condemned the chants - labelling them “disgusting”.
"It leaves a bad taste in your mouth," he said. "It's not in good taste, and the people that were actually singing it should feel embarrassed."
Should Manchester United have been punished by UEFA for these chants? Will it now happen again on Thursday? Have your say by leaving a comment below.