Any reason why my eyes are bulging but i do not have graves' disease?

Need to see eye dr.: You need to have your eyes measured, to make sure they are actually protruding, beyond normal or if it's just your bone structure. Anything that can increase what appears to be protrusion can also be tumors, masses, inflammation in the eye, or involving the optic nerve, chiasm, vein or muscles. That requires imaging, and further workup. Also your thyroid antibody panels need to be repeated.

Bulging eyes: I don't have a ready explanation but you MUST see an Ophthalmologist!