Thanks for checking out the app. The app updates the numbers each time it relaunches, which is less frequently on newer phones with lots of RAM.
So, there is an “invisible” feature that lets you force an update! Just exit the app all the way using your phone’s BACK key until you hit your home screen. At this point, the app has been forced to close completely. It should show the current call log when you relaunch it. To be totally sure, open the call log once before relaunching RL to force your phone to refresh it’s call log cache.