make sure vertices are welded together as one object. At the moment they may be 3 or 4 seperate polygons that made up the glass. You will have to weld those touching vertices to make them as one element, then apply auto smooth group.
you will be able to tell if the glass is one element or not by go to the sub-level, choose from (vertice, edge, face, polygon, element), select element as your sub-level, click on the glass object, if the glass object is highlighted in red, that mean your glass is a single object, but if only part of your glass highlighted, that means your glass was made up by fragmented elements, which they'll need to become one object, otherwise will not be able to smooth.