When reading books on the iOS and Android versions of Epic!, a child can earn badges and achievements for the books they read.
On iOS you will need to read in full screen view for the read time to count towards badges or reading points. To get to full screen view, just zoom in once using the pinch gesture until the book takes up the whole screen and there is no colored border around it.
Note: Badges and achievements are currently unavailable on the website version of Epic!, and progress earned there does not count toward in-app achievements. The books read on the web do count toward total books read, as long as they press the "Finish!" button at the end of the book.