I think that a good step toward the right direction would be to lower it a bit and make it look thicker.
Ideally there would be sets of grass+bushes etc packages cause i think grass looking unnatural is also partially to blame for mappers making just patches of grass randomly but not other small bushes or thing around them and when u see a patch of grass just end abruptly it looks bad and the rest of the map looks flat/empty.
Probably another issue is making the texture play a part:
the feature can be the taller grass while the texture could try and mimic low grass/other greenery under the grass.
Maybe the grass itself can have its own undergrow when it is placed in the map..so you dont have to make a lot of effort to fit your map textrue to the grass color and looks.
