"Shame on you Mr Parrikar and your hunger for Power. You have cheated the People of Goa. Apologise to them," he said on Twitter.
His remarks came a day after the Goa Chief Minister took a dig at him by thanking him for the government formation in the state.
Parrikar had yesterday said that he wanted to thank Singh, who is in-charge of the Congress party's affairs in Goa, "because he was roaming around in Goa and I was able to form the Government in Goa."
"Manohar Parrikar thanks me for letting him form Govt in Goa. If he has to thank anyone, it is Nitin Gadkari who did aggressive MLA shopping on 12th March early morning from an hotel in Goa.
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"And the Goa Governor who violated the Constitution, Sarkaria Commission guideline and the Supreme Court...And robbed the mandate of people of Goa," he said in a series of tweets.
In Goa, the Congress had emerged as the largest party after the recently held polls, but the BJP led by Parrikar managed to form the government with the support of other parties.