Preventing red eyes after biking
Several solutions:


Clear cycling glasses (which you've tried)
A helmet with a windscreen / windshield / visor that'll help keep the wind and the light from streetlamps and cars out of your eyes
Saline or "liquid tears" eyedrops (helps with dry eyes, in the "Eye Care" section of your pharmacy)
Liquid tears with a vasoconstrictor (helps hide the appearance of red eyes, e.g. Visine)
Liquid tears with antihistamine (helps with allergies, e.g. Visine-A)
An oral anti-histamine (assuming it's because of allergies)


I have no connection with companies selling liquid tears. I should note that many optometrists recommend against regular application of anything except pure saline drops because your eyes become habituated to the chemicals (especially vasoconstrictors) and this can make the situation worse.