Police had to disperse the crowd and made 15 arrests in the process during the chaotic scenes.
Craig Campbell, of Lemon Street in Kirkdale, was charged with grievous bodily harm after a 32-year-old man suffered serious head injuries when he was attacked during the mass gathering, police said.
The iconic Liver Building was set on fire by a firework on Friday as fans ignored social-distancing rules and dropped tons of litter while celebrating.
All persons arrested for the violent disorder have been bailed whilst investigations continue.
"Last night children and families were present alongside others and heavy handed police intervention was therefore not appropriate at the time". This is not acceptable.More news: Florida looks for way forward on bars
In a statement, Chief Constable Andy Cooke said the actions of a minority were "not only irresponsible, but criminal".
The police said on Twitter that the dispersal order would remain in force until Sunday.
Premier League champions Liverpool were forced to criticise their fans' "wholly unacceptable" behaviour after police claimed glasses and bottles were thrown at them during title celebrations that turned violent.
The video emerged after a 19-year-old was charged for throwing a firework at the Liver Building on a night when Merseyside police officers were struck by missiles and pushed to the ground by Liverpool supporters as ugly scenes broke out in the city centre on Friday.
The statement said: "The potential danger of a second peak of Covid-19 still exists and we need to work together to make sure we don't undo everything that has been achieved as a region during lockdown". On Thursday, when they gathered outside Anfield, you could argue that the passion was there and we had to accept that was inevitable.More news: Iran issues arrest warrant for Trump over Qassem Soleimani killing
"We all understand that fans want to celebrate, but now is not the time".
"We are going to do the guard of honour, of course", the Spaniard said, as quoted by AS.
Mayor Joe Anderson took to to social media to reiterate that the spread of coronavirus was "still a real risk".
More than 1,500 people have died after contracting COVID-19 in the Liverpool region since March.
"When it is safe to do so, we will all work together to arrange a victory parade when everyone can celebrate".More news: IPhone 12 to Come Without Power Adapter, EarPods in Box: Kuo
Liverpool have wrapped up the title this season with seven games to spare, as they sit 23 points clear of the chasing pack, and will be given a guard of honour by the side they have dethroned when heading to the Etihad Stadium for a meeting with Guardiola's City on Thursday.