It's an issue from Facebook itself. I usually log in to Facebook via browser, but now it can't work anymore.
To make it work, you need to login via Facebook App. I tried login to the modded APK via FB App but still couldn't work. But when I tried to login to the original APK via FB App, it works.
I use the original APK for now since the modded version couldn't let me login FB.
You can follow these steps to login.