Apply cold compresses to closed eyes for 5 to 10 minutes, a few times per day. (To make a cold compress, fill a bowl with ice and water. Submerge a clean washcloth into the bowl, then wring out the excess water)
Cold compresses will not only help the redness go away but will also help reduce fluid retention around the eyes after sleeping.
A red eye is often a dry eye. It may simply be dry and inflamed after a short night’s sleep. Try artificial tears drops which are lubricant eye drops. They are available over the counter and come in a variety of brand names and formulations.