Almost a web client for twitter?

Question

OAuth

Hello twitter gurus.
There is a task to track tweets by hash tag and create posts on the site from them. Next, the chain of twitter replies to that tweet is tracked and added as comments to the first tweet with the hashtag!
The idea is that a started conversation on Twitter can be transferred to the site by marking the first tweet with a hash tag (#2post). This has already been implemented, for example: footwit.ru/twipost/-post/332730989270929408/
Problem
How can I make it so that a site visitor can log in via Twitter and leave a comment on a post that will go to his own (user) Twitter feed on his behalf? Those. it turns out that the user will be able to make a tweet from the site, on his behalf in his feed, in the continuation of the discussion?!

Answer 1

API