Baitha, who won the 2009 Lok Sabha elections on a JMM ticket, filed the papers days after joining the Trinamool Congress.
On March 5, Baitha said he had met BJP leader and former chief minister Arjun Munda and gave him a letter requesting to join the BJP, but the party reportedly rejected the request.
It is not known whether Baitha has resigned from his LS membership after defecting to the Trinamool Congress.
He was lodged in the jail in connection with 55 Naxal-related cases.