how to add server name in user personal chat from bot like

[ORGINRISHITH]

like:- "hey you are found swearing(the server name here)"

[jelni]

There is not enough context to properly answer your question, but if you have a Message or a Context object you can read it's guild attribute.

async def some_handler(message: Message):
  guild = message.guild
  await message.author.send(f"Don't swear in {guild} ({guild.id})")