I dont believe this is a Barovier piece.
Looks like a newer Murano piece. The stem on it looks mold made, not hand blown, and for it to be older I would like to see a rough pontil mark on the bottom. As far as color, I don tthink you can go on color to define a piece. Many makers used different styles and colors.
Hope this helps. Maybe we can get other opinions on your piece.