Ngram suggests that “Handbook of” is more popular.
Personally, I do not like the sound of either, as it seems redundant to include handbook in the title of a handbook! I do prefer having a definite article in there. “Handbook on the Right to Information Act” or “Handbook of the Right to Information Act”.
In this instance, I would suggest the meaning is slightly different, which could also account for the popularity difference in ngram. The first (on) is referring to a specific noun that the handbook will cover. The second (of) is referring to a topic that the handbook will be about. In practice, these are not far apart in many cases, so either will work.
In this case, I think “on” works better because (I assume) the handbook is about a particular act (the Right to Information Act).