Biswas is made minister-in-charge for Correctional Administration, Refugee Relief and Rehabilitation while Bhattacharya will be MoS Health and E-governance (independent charge).
Banerjee said that she would carry out another minor reshuffle of her ministry shortly.
Abani Joardar, who was the minister of Correctional Administration, Refugee Relief and Rehabilitation, will remain as a minister without portfolio as he was indisposed.
The TMC government has a strength of 42 ministers and with the fresh induction it went up to maximum 44.
Bhattacharya, who was the MoS (Health and Law) in the first TMC government which came to power in 2011, had lost the Assembly poll last year.
She had won from Kanthi Dakshin constituency in a by-election held last month.
Biswas was also a minister in the previous TMC government.
Though he won from Krishnanagar Dakshin constituency, Biswas was not inducted into the state cabinet last year.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)