You asked

Is the sigma 200mm f 2 dg os sports good for sports?

Here is what the site says about that.

From Sigma 200mm f/2 DG OS Sports: Sigma 200mm f/2 DG OS Sports: A prime lens by Sigma for Full frame cameras, 200mm f/2. A stabilised fast telephoto prime for indoor sport and portraits. Specs - Maker: Sigma - Focal length: 200mm (prime) - Maximum aperture: f/2 - Made for: Full frame sensors - Mounts: Sony E, L-Mount - Stabilised: yes - Autofocus: yes What it frames like - On full frame (Sony E, L-Mount): as marked, 200mm. - On APS-C (Sony E, ...

From Sigma 70-200mm f/2.8 DG OS HSM Sports: Sigma 70-200mm f/2.8 DG OS HSM Sports: A zoom lens by Sigma for Full frame cameras, 70-200mm f/2.8.

Quoted from this site's pages.

From these pages