BJP's Prime Ministerial nominee also sharply criticised the ruling party for "erasing" the legacy of former Prime Minister P V Narasimha Rao.
Addressing a public meeting here, Modi said, "Congress went about the way of creating Telangana state like a doctor who facilitated birth of a child, but killing its mother," by which he said he meant Telugu spirit, language, culture and tradition.
"Giving birth to a child is a matter of joy, but the child can't be raised by killing the mother," the Gujarat Chief Minister said.
"Telangana statehood demand was conceded following the sacrifice of the people," Modi said adding a wrong vote in the coming elections amounts to discarding the sacrifice of 1,100 people who killed themselves for the cause of the state, and rubbing salt into the wounds of their mothers.
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"I have come here to take responsibility for the future of Telangana," he said, appealing to the people to support the BJP.
Modi said more than three lakh people from Telangana are staying in Surat in Gujarat, his home State.
"I have the experience of taking care of Telangana people. Vote for BJP both at the Centre and state and you can have 'laddus' in both your hands," he said.
Modi alleged that the Congress has "animosity" towards Andhra Pradesh and Telangana, and recalled how the then Congress General Secretary Rajiv Gandhi had allegedly insulted Andhra Pradesh Chief Minister T Anjaiah at Hyderabad airport.
Praising Narasimha Rao, he said the country believes his tenure as Prime Minister was a good one. "But the Gandhi family erased his legacy as it has great animosity towards Andhra Pradesh. Even today, all these years after his death, they don't even offer floral tributes to him on birth and death anniversaries."