Is the Xbox 360 servers down for backwards compatible games?

It won't shut down for a while. The backwards compat games on the one still use the xbox 360 servers. They have future releases for the backwards yet. If they shut down the servers, we lose all these backwards compat games as well. Some game developers might
shut down their servers, like older sports games from like 5 years ago do not have active servers.

Well no one knows when the 360 servers will be shut down but with the recent announcement of backwards compatibility on the xbox one it wont be anytime soon as they will need the 360 servers to run backwards compatible games.

You do know no one from Microsoft reads these forums >

It's not getting shut down. You will be able to still play your favourite games on the Xbox 360.

A lot of people still play on the Xbox 360 and the backwards compatibility feature on the Xbox One will be using the same servers for the backwards compatible Xbox 360 games.

So you have no need to worry about them shutting down for several years.

Yes you did, but the backward compatible game uses the same xbox 360 servers, which if they were slowing down 360 users, then it would affect Xbox One users too.

The Xbox Live servers for the Xbox 360 are currently down. This is also affecting Backward compatible games on the XBox One and Xbox Series X|S. No ETA yet on a fix.