Before immolating themselves, the two had named jailed BSP MP Atul Rai and Thakur among others for harassing them and conspiring to defame them on social media.
The proposed name of his new outfit is Adhikar Sena, he said and requested his supporters to suggest more names along with purpose, mission and structure of the party.
Thakur's family had announced that he would be contesting the next year's state Assembly polls against Chief Minister Yogi Adityanath, terming it a fight for principles.
UP cadre IPS officer Thakur was given compulsory retirement on March 23 following a decision taken by the Union Home Ministry.
An officer of the 1992 batch, Inspector General Amitabh Thakur, on Tuesday disclosed his retirement on Twitter, attaching a copy of the orders issued by the Union government.