The National Commission for Women sought "prompt and strict action" against the actor for using indecent language on social media.
The BJP questioned the silence of top Congress leaders Rahul Gandhi and Priyanka Gandhi Vadra on the matter.
The committee recommended that the WCD Ministry should immediately take up the matter with the states and union territories.
NCW chairperson Rekha Sharma also wrote to the Commissioner of Police, Delhi to investigate the matter and take appropriate legal action.
The nun charged Bishop Franco with spreading false rumours and fake news through his supporters and media cells in order to intimidate her and her companion sisters.
Matters came to a head during a recent adalat of the Women's Commission held recently in Kerala's Kollam district, when a complainant and the defendant, both after the same man, ended up fist-fighting.
Based on the woman's complaint, Momin was Thursday booked under sections of the Muslim Women (Protection of Rights on Marriage) Ordinance.
In the notice to Haryana DGP Manoj Yadava, NCW chairperson Rekha Sharma said she is deeply "concerned and shocked" by the incident. She sought an action taken report in the matter.
These complains, which do not fall under the purview of crime or attack, are being treated under a special category by the national woman's body.
National Commission for Women has asked George to appear before September 20 to provide an explanation.