Could you be more specific about what you didn’t grasp about the
documentation? Do you have any specific questions?
Scala, Akka, Play and Scalaz taken together is a lot of stuff to learn,
so it is expected to take a long time.
Presumably, you would start with learning Scala. My favorite book is
"Scala for the Impatient" by Cay S. Horstmann.
With Akka and Play, it may help you to first study the Java API.
If you are working in a team that makes extensive use of Scalaz and you
find the code hard to read, it may comfort you to know that almost every
one finds code hard to read that makes extensive use of Scalaz.