come on lets be honest, Modi doesn't give a shit about colonialism despite his rhetoric and is perfectly willing to sell off his country to British capitalists if it helps his cronies. He has in past equated the medieval India (when India was considered 'prosperous') to the British era) because Muslims.This is just a petty move against the opposition. Also it is to be noted that Sanskrit isn't the only language in India, its one of the most diverse countries on Earth and southern states see this as an 'imposition' of Hindi Northern India.

Britain renamed Bharat to India

This is not entirely correct because India as a consolidated nation state did not exist when Brits entered the scene. It was rather a patchwork of empires. This was also the case until right before independence when Congress had to do a mad dash to convince the various princely kingdoms become a part of India by either the use of bribes or force.

This name change is a ploy to appease their Hindu nationalist constitutents and imbue in them a sense of pride and dignity without providing any material benefits. It also alienates the non-Hindu Indians because that's just what BJP does. They have been changing Urdu names to Hindi ones (example Allahabad→Prayagraj) for this very reason. Honestly, I feel if people knew what BJP did (and is doing) in Uttar Pradesh (a province) with Babri Masjid and making it a site for Hindu religious tourism they would understand how venomous BJP's rhetoric and agenda are but it's a whole can of worms.