Welcome to the WPML support forum. I will do my best to help you to resolve the issue.
I am consulting with our team for an expert opinion on this. We have a couple of questions for a better understanding of your live site settings. Please check the following.
1) On live site, which option you have selected for WPML>>Settings>>Translation Mode
2) If you have selected *Translate What You Choose* now, have you ever used *Translate Automatically* option