Apple made a change in iOS 7 where Safari browsing history is stored differently than before and is now in a different backup file. The browsing history data is kept in a separate file than the bookmarks data, and our developers are working on updating iExplorer to be able to read the new iOS 7 Safari history file. We hope to have it updated very soon.
If you use iExplorer with an iOS 6 or below device, Safari history will appear in the Safari section. It’s just iOS 7 Safari History that won’t appear currently in iExplorer.