Earlier quoted context omitted.
It seems to be a direct translation of the word करणीय (karaniya, that which needs to be done) in many Indic languages. A more idiomatic translation might be “please get this done”; the “needful” phrase might also be a signal that the writer isn’t that familiar with idioms used in other English-speaking countries. Hobson-Jobson[1] had a great early compilation of some phrases that arose in the subcontinent— many are s…
Saying this as someone whose first language is Hindi, I have never used this word nor heard anyone else use it. I think whatever similarities there are might be coincidental. Can't say about other Indian languages.
Here’s the term in gov.in: https://www.google.com/search?q=%E0%A4%95%E0%A4%B0%E0%A4%A3%...
Of course the Indian government loves “do the needful” as well: https://www.google.com/search?q=%22do+the+needful%22+site%3A...
But there’s evidence that “do the needful” might be an old English legal term as well. I’ve updated the parent comment. Further research is definitely required.
[1] https://sanskritabhyas.in/%E0%A4%95%E0%A4%B0%E0%A4%A3%E0%A5%...