If the Method A tie cable plugs into:
1) An MPO adapter at each end (i.e. MPO patch cables will be used to plug into the 100G transceivers), then you are correct that a Type A MPO Patch Cord is needed at one end and a Type B MPO patch cord at the other end (also called Type A and Type B Array Connector Patch Cords).
2) An MPO to LC break out module at each end, then you need LC A-A patch cords at one end and LC A-B patch cords at the other end.