There's different ways to do it but Albright makes reversing contactors, SW202 is the number I think. I would suggest contacting one of the vendors who have experience with these to make sure they're compatible with your system voltage.
Another way is to use discrete contactors that accomplish the same function but that's probably more expensive and would take more space.
BTW, that controller might be capable of 500A, mine was. Good luck with your project.
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