The party accused him of allying with the Congress and likened him to epic Mahabharata's character Shishupal, an arrogant king who met his end after insulting Lord Krishna repeatedly.
Bharatiya Janata Party leader GVL Narasimha Rao said in response to Sinha's remarks that the former Finance Minister was glossing over his own performance.
"While claiming to be a 'know-all' economist, Yashwant Sinha is conveniently glossing over his own disastrous performance as a Finance Minister when he pledged India's gold overseas," he said, referring to the time when Sinha was in the short-lived Chandra Shekhar government.
The party termed Mr Sinha "an ever job-seeking Sinha".
"Unlike his claims of being Bhishma, Sinha's arrogance is akin to Shishupal of Mahabharata. Like Shishupal whose filthy abuses resulted in meeting his end, Yashwant Sinha's treacherous activities are reaching the tolerance point," he said.
Mr Sinha, who released a book of Congress leader Manish Tewari, referred to Prime Minister Narendra Modi's mention of Shalya, a character from Mahabharata, and virtually compared PM Modi and BJP chief Amit Shah with the eldest Kaurava brothers Duryodhana and Dushasan.