Restive uses resource controllers for API routes. To define your routes for each controller you will need to add the following to your api routes file.
Restive::resource('modelName', 'controller');
modelName is the model name you want to have api access.
Controller is the name of your controller class.
As an example. To use the dummy simple controller supplied by the project, your routing entries would be.
Restive::resource('dummySimple', 'Api\DummySimpleController');
or to use the default User model that comes with Laravel
Restive::resource('user', 'Api\UserController');