According to the dclsg member who took these photos, Seung Gi did not have make up on his eye but rather his face.
Her comment about these photos:
“…I just wanted to update everyone so I’m writing. I took the photos in such a rush, they didn’t turn out very well. I wonder if it’s okay to upload them here..This is my first time so I’m not sure..His left eye was swollen and he didn’t seem to be in good condition. The wounds on his face are probably makeup…? I also have fancams which probably won’t be helpful but I’ll upload the photos I have first..”
Korean to English translation by Elise Min, Lee Seung Gi Forever