The phrase "shut eyne" means to close one's eyes. If you're looking for synonyms, there are a few options to consider. For example, you could say "close your eyes," "seal your eyelids," "shutter your gaze," or "shroud your vision." Other options might include "block out the world," "hide from sight," or "retreat into darkness." Whatever phrase you choose, be sure it accurately conveys the action of shutting one's eyes. This can be helpful in a variety of contexts, from encouraging someone to rest and relax to describing a moment of deep contemplation and introspection.