Well, generally speaking, it is normal to have red eyes after the corneal transplant. First, you should know that the main cause of red eyes can be the eye infection, and it is caused by bacterial, viral, and allergic. So, when you have eye infection, your eyes can be itchy, red, and pink. What is more, after you have corneal transplant, it is easier to have eye infection, leading to red eyes. To treat it, you need to have some cold compresses on your eyes. For example, you can have some cold cucumber or teabags. By using it, it will just make your situation better. Also, you should not touch your eyes with your unclean hand.