Green Ronin's Psychic's Handbook was made for the 3.0 version of the D&D rules. D&D revised those rules to 3.5 about 6 or 7 years ago.
If you notice, the wiki you're linking to has those rules under the "homebrew" section. That means that somebody somewhere said, "I think I'm going to try and convert/update those old rules so they work with the newer edition." That doesn't mean they're bad, just that they're less likely to be accepted by GMs.
The particular version of rules that you're looking at relies on feats and skills to perform things; first you need the feat, then you need to have the skill.
GMs typically organise things in terms of preference like this:
1. Official material. This means something actually published by Wizards of the Coast (WotC).
2. Some 3rd party publishers. Green Ronin is an example of a 3rd party publisher; they have their own games that they've produced, but they also published material that was compatible with D&D. Some GMs dislike all 3rd party material, some only accept it from certain publishers, some will only allow certain books.
3. Homebrewed rules. This is stuff found on forums, stuff made up by players, stuff made up by the GM, etc.
If there's something you want to use, you should talk to your GM about it. They'll tell you what they're comfortable allowing in their game. No GM I know of will simply let a player take anything they want from any book or site; some things will ruin the type of game they're trying to run, some things won't be balanced (or may be thought to be imbalanced regardless), and some GMs just don't like some stuff. Like Psionics for example; some GMs absolutely hate it and refuse to have anything to do with it in their games.
*shrug*
Good luck.
