Spring RTS Engine

Hello.

I wondered if this engine supported Total Annihilation: Kingdoms?
I don't have the other games except TAK.
And i've haven't found anything on that it does or doesn't in these forums...

It doesn't directly. There's probably a way to recreate it all using Lua (which applies to loads of other games too...) but you can't directly load TAK into Spring.

There's some Spring 'games', like Kernel Panic or Pure or Expand & Exterminate (and more), that are free. Free, like, not based on commercial games. Like, just download and play.