In its submission before the magistrate of a special court in Alipore, the CBI said over 400 unfit candidates were given jobs while the more qualified ones were deprived.
It is alleged that records were manipulated to favour candidates in the appointment of teachers which has brought the role of the companies under scanner, they said.
The extended Monsoon Session of the assembly will begin on September 14 and is likely to continue till September 22.
The PMLA court also extended the judicial remand of Chatterjee's associate Arpita Mukherjee for 14 days.
A 12-member CBI team raided the NBU vice-chancellor's office in Siliguri, the largest town in the northern part of the state.
SSC scam: I-T team conducts raid at Jharkhand hotel to nab 'close aid' of Partha Chatterjee, unsuccessful
The team received input from the Enforcement Directorate in Kolkata, that the person was in Bhandara Park allegedly to hide unaccounted money.
Among the dozen promises that the Mamata Banerjee-led party plans to take up to corner the BJP government are the doubling of farmers' income by 2022 and houses for all.
After being in ED custody till August 5 following their arrest on July 23, Chatterjee and Mukherjee had been sent to judicial remand by the PMLA (Prevention of Money Laundering Act) court here.
However, none of the posters bore Mamata Banerjee's photographs, which has seldom been the case in TMC posters since the party's inception in 1998.
These are the first arrests made by the Central Bureau of Investigation (CBI) in the school jobs scam.
Firhad Hakim made the statement in the backdrop of the Calcutta High Court’s direction asking the ED to be a party in a PIL about the assets and property details of 19 top TMC leaders.
Arpita is lodged in Alipore correctional home for women, which is generally given to prisoners showing good conduct.
Taking a jibe at Mamata-Modi meeting, the CPI(M) and Congress described it as a part of her "setting" plan to settle an under the table deal with the BJP.
Chatterjee and Mukherjee have been in ED's remand since their arrest on July 23 in connection with its probe into the money trail in illegal recruitments done by the School Service Commission.
The ED has described the insurance documents as clinching evidence to prove that the proceeds of the crime of the alleged scam in recruitment were invested in the name of Arpita.
Partha Chatterjee, who was also arrested in connection with school recruitment scam, said he doesn’t have any money.
Chatterjee had on Friday asserted that he was a victim of a conspiracy and expressed unhappiness over the Trinamool Congress' decision to suspend him.
'Partha Chatterjee used to take Arpita Mukherjee for joyrides in high-end cars, have parties': Investigators
Other bank accounts, linked to several 'shell companies' allegedly operated by Mukherjee, are also under the ED's scanner.
Chatterjee, the former virtual number two both in the TMC and the government, was stripped of all ministerial responsibilities and suspended from the party following his arrest last week.
The stories of Chatterjee's miserliness are legion in the TMC, which also explains why he allegedly hoarded Rs 52 crore in cash, thousands of dollars worth lakhs and jewellery valued at Rs 4 crore.