Singh, who is contesting from Begusarai Lok Sabha constituency, was addressing NDA leaders and workers yesterday while sharing the stage with Verma.
Verma, who had stepped down as the social welfare minister in August last year, following allegations of close links between her husband and Brajesh Thakur in Muzaffarpur shelter home scandal.
The charge sheet was submitted before Sub-Divisional Judicial Magistrate Prabhat Trivedi by investigating officer Ranjit Kumar Rajak.
Additional Chief Judicial Magistrate, Majhaul Sub-Division, Prabhat Trivedi, passed the order on an application by the district police which had sought two-day custody.
Verma had stepped down as the minister for social welfare in August, following reports that her husband, Chandrashekhar Verma, had close links with Brajesh Thakur, the prime accused.
Over 30 girls were allegedly raped and sexually abused at the shelter home.
Additional Chief Judicial Magistrate of Majaul passed the order to this effect invoking sections 82 and 83 of Code of Criminal Procedure.
Manju Verma had stepped down as social welfare minister in August after media reports indicated close links between her husband Chandrashekhar Verma and prime accused in the case.
Verma is wanted in a case of recovery of ammunition from her house during a raid in connection with the shelter home case.
Verma, who is facing detention under Arms Act, moved to Begusarai court last Tuesday while pleading with it not to declare her an "absconder'.
Verma had to resign as the social welfare minister from the Bihar Cabinet after reports suggested "close links" between her husband Chandrashekhar Verma and Muzaffarpur shelter home scandal accused.
Arrest warrant issued against absconding former Bihar minister Manju Verma; RJD wants CBI to quiz CM Nitish Kumar
The top court had pulled up the state police over its failure to arrest her.
Manju Verma resigned on August 8 following allegations that Brajesh Thakur, the main accused in the case, had links with her husband.
Brajesh Thakur, prime accused in the Muzaffarpur shelter home sex scandal, headed the NGO which ran the shelter home where more than 30 girls are said to have suffered sexual abuse.
Manju Verma's husband was also accused of having links with Brajesh Thakur, the alleged mastermind behind the scandal.