When you approve a publication from the online Synchronizer or when you manually add a publication, there is no way to indicate that it is "Peer-reviewed/refereed". To mark a publication as "Peer reviewed/refereed", you will need to add this label.
Go to the "Labels" section at the top of the publication screen. Note: You may see other labels that do come from publication databases.
Click "Manage labels" to add peer-reviewed/refereed
Click the + sign to add the label for Peer-reviewed
Rollover the name and choose the + sign to save
When you run your EAS again, your publications will fall under the "Peer-reviewed" section.