Except if it’s the morning following an especially substantial night, the most probable culprit is the camera’s built in flash, particularly when it’s found near the camera lens. The ‘red eye’ effect is hence brought about by the subjects’ eyes reflecting the artificial light from the flash back into the camera lens – giving that extremely unnatural look.
Luckily, this well established issue is less normal than it used to be, because of most current cameras offering a ‘red eye decrease’ setting among the user selectable flash settings that takes two flashes in quick succession. We can’t take care of subjects with their eyes shut however – although software has been written for cameras to recognize when this has occurred and flag it up to the user.
Essentially re-taking the shot and trust in second (or third time fortunate). As a matter of fact that is one trick all arrangement: make the same number of efforts as you can and will undoubtedly wind up with one you’re content with.