Solidfy Modifier Problem!

Hello! I successfully figured out how to get my UV Dot eyes onto Blender. However, I came across another problem with the Solidify Modifier, regarding Toon Lines.

You see I have everything for the Modifier set correctly, however the UV, or seam I made for the eyes won’t have the modifier work in that area.

I thought it was the vertex group, the material I made for the eyes, but its just the Seam I created.
I don’t think its the UV layout, causing the problem, I just want to have a good cartoon lines around the character. Please help me with this dilemma.

Thank You.

why dont you have two different materials on the same object? that way it doesnt matter that hte faces are overlapping on the uv map?