Congress spokesperson Sushmita Dev demanded that the Bill be introduced and passed in the winter session of Parliament and implemented in the 2019 general elections.
"The question is, why is the Prime Minister silent till today? I have no doubt that it is the ideals and principles and the mindset of the RSS which has always been anti-woman and against empowering women, politically and otherwise, that is standing in his way," she said.
"Passing the Bill is step one there are various other steps after that which have to be taken so that it is fully implemented in 2019," she told reporters here.
The Congress leader alleged that even after ruling for three and a half years, the prime minister had "done nothing" about his "self-proclaimed commitment" to the Bill, also mentioned in the BJP manifesto.
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She demanded that the Bill be introduced in the Lok Sabha and constituencies be identified and reserved for women before the next general poll.
Dev, who is also the All India Mahila Congress chief, said she along with other party workers submitted a memorandum to President Ram Nath Kovind, carrying signatures of 32 lakh people for the early passage of the Bill.
While the delegation sought Kovind's support on this, she said all Mahila Congress district presidents would submit memorandums to the prime minister through district collectorates on October 31, demanding an early passage.
Dev said Congress president Sonia Gandhi wrote to Modi on September 21, assuring him of her party's support to the Bill, but Modi had not responded to or acknowledged the letter.
"The Modi government has not only betrayed the youth, farmers and the poor but is also deceiving the political aspirations of 586 million women," she said.
Moving on to the social media, Dev asked if the government's National Informatics Centre had hired a private firm for its "online reputation management".
"I want to question the IT Minister ... is the NIC being used to help you with social media trending? Are you spending tax payers money," she asked.
Dev demanded an impartial investigation into companies that had allegedly obtained government contracts to do "the personal PR of BJP Leaders" on social media sites.