Why isn't Facebook app and Google Chrome working after updating to Lollipop?

After updating my Xperia Z2 to Android Lollipop I've been unable to use the Facebook app, and also I can't open any pages on Google Chrome using mobile data. These apps work when I'm using WIFI but not with mobile data. However, FB messenger, Whatsapp and Viber seem to be working fine using mobile data.

After a update such as this, one should do a wipe cache partition from the system recovery mode. It will not cause data or App loss.