how to get advantage of stateless framework

Nicholas Blumhardt wrote good post about stateless framework.

I like BugTrackerExample which they have in source code.

So your machine would probably look like this:

class Generator
{
    private readonly StateMachine state;

    public Generator()
    {
        state = new StateMachine(State.Stopped);

        // your definition of states ...

        state.Configure(State.GenerateMachineData)
        .OnEntry(() => { Generate(); })
        .Permit(Trigger.Failed, State.Error)
        .Permit(Trigger.Succeed, State.Finished);

        // ...
    }

    public void Succeed()
    {
        state.Fire(Trigger.Succeed);
    }

    public void Fail()
    {
        state.Fire(Trigger.Fail);
    }

    public void Generate()
    {
        // ...         
    }
}

In this case tests shouldn't be problem.

If you need further separation you can use event, delegate or strategy pattern instead of Generate method.