My texture refuse to work without correct Mesh Filter and I dont understand why.
I have created sphere model of an eye with configured uv mapping for texture(in blender)
On the first screenshot you can see how this fbx model displayed at the scene, texture mapping is correct
The spheres are UV mapped differently. If you want to use the Unity sphere then you may be able to adjust the tiling on the eye’s material. Try setting the X value to 2.
You’ll also need to set the texture’s ‘Wrap Mode’ to Clamp and possibly enable ‘Border Mip Maps’.