DaViT wrote:
I have a large yard with Tif green (summer type Bermuda). The lawn
were damaged by weeds. Most the area under the tree are now bare soil.

I would like to overseed with some type of summer bermuda grass.
What's type? I lived in the SW Desert. Thanks

How could bermuda be damaged by weeds? Anyway, it sounds like your
problems is shade. Bermuda will not grow under trees, period. It will
not stand any shade at all.