The bench had also said that it has no confidence and does not want the one-member judicial commission appointed by the state to continue probe into the case.
The SKM alleged that accused were receiving VIP treatment in custody and witness statements were not getting recorded at the pace expected by the Supreme Court.
Samyukt Kisan Morcha will oppose BJP in Uttar Pradesh assembly polls, says farmer leader Rakesh Tikait
He also added that their agitation against the Centre's three farm laws will continue till the matter is resolved.
The SKM suspended Yogendra Yadav for a month for visiting the family of a BJP worker who was killed in the October 3 Lakhimpur Kheri violence.
The pictures released by the SIT show a few men with sticks and black flags in their hands near burning vehicles.
Congress delegation to meet President Kovind on Oct 13, present memorandum on Lakhimpur violence case
The Congress has been demanding the immediate dismissal of Union Minister of State for Home Ajay Mishra whose son Ashish has been named in the FIR and is accused of mowing down farmers.
The BJP had recently announced its 80-member national executive with the likes of Varun Gandhi and Birender Singh, who have taken a sympathetic stand with farmers protesting against agri laws.
Lakhimpur violence: Will start protests if Union Minister Ajay Mishra not sacked by Oct 11, warns SKM
The farmer unions had said if the government does not accept their demands by October 11, they will take out a 'Shaheed Kisan Yatra' from Lakhimpur Kheri with the ashes of the farmers who died.
He alleged BJP and Yogi government "tried their best to save" Mishra's son Ashish but he had to be arrested as no other option was left before the Uttar Pradesh government after SC intervention.
After around 12 hours of questioning in connection with the violence in which eight persons including four farmers were killed, a medical team examined Ashish Mishra in the crime branch office.
The SIT has recommended the district police to add some more sections of IPC in the FIR lodged against Ashish Mishra as they were not convinced with his side of the story, sources claimed.
The party leadership is also likely to decide on the schedule for electing the new Congress chief.
During the suo-motu hearing on Lakhimpur Kheri violence, the Supreme Court said 'it is a brutal murder of eight persons and the law must take its course against all accused.'
SP chief Akhilesh Yadav, BSP leader Satish Mishra visit Lakhimpur, Priyanka goes to Bahraich to meet the farmers’ families
Mayawati said a delegation of the BSP led by party general secretary and Rajya Sabha MP SC Mishra will be meeting the families of the farmers killed in the October 3 violence in Lakhimpur Kheri.