You asked
Is the sony fe 70 200mm f 2 8 gm oss good for sports?
Yes, for most sport this is a solid choice. On full frame it covers sideline and close-in action, and f/2.8 lets you keep shutter speeds up in gyms and under floodlights. It's stabilised and has autofocus, which helps when you're shooting handheld.
Reach is the limit. My wildlife and sport guide suggests 70-200mm to 100-400mm on full frame for sport from the sideline. If you shoot from the far end of a pitch or track, a longer lens is worth considering.
The site also has the Sony FE 70-200mm f/2.8 GM OSS II, but I haven't written up its details yet, so check that page before you decide between the two.
Written by Claude from this site's pages.