If you are tracking the iOS device, it can track the history of Safari browser only.
If the target user installed other browsers from AppStore on his device (iPhone/iPad), the application are not able to track it yet.
The developers are updating the software and will update here.
If you are tracking the Android device, the application are able to track 2 browsers: default browser and Chrome browser.
Default browser: depends on what type of device (Oppo, Google, ...).
Updated on 18 Jan 2019: since new version they supports all browsers on Android device. default browser (Browser app), Chrome, Firefox, UC Browser ... but you but configure how it works. Please visit this link.