Direct burial rated 2-2-2-4 or 2-2-2-2 is perfectly acceptable for direct burial. Its commonly called Mobile Home feeder, or quadplex.
You seriously need to find a new electrician, and don't take any info from this guy as the gospel. If he doesn't understand the code requirements and grounding any better than that, I wonder if he is even licensed.
In your main panel, if it has the main disconnect in it (and not before it such as at the meter) then you need to leave the ground and neutral bonded together at the main. If you have a disconnect outside at the meter, or somewhere before the panel, then the neutral and ground needs to be completely separated in your main panel.
Charles
Charles