How to manipulate image into the glass bottle?

Mga sir, can anyone know how to manipulate the image into the bottle without those unnecessary grey reflection (Matrix coding). I already adjusted the UVW map but still cannot perfect the image. Thanks!

How about no transparency at all. Make it opaque for the sake of presentation. or fill it up with liquid.

Hi Sir Bokkins, i already fill  it up with liquid, but the opaque not tried yet. The client wanted it to be transparent so if I do the opaque let see if I can mimic the color of bottle transparency. Thanks alot for the help.