94 ford explorer transmision overheats?

Could the trans cooling lines be crossed

Sure if they where removed recently. But normally the radiator takes care of the heat. Make sure proper fluid is added if not drained and refilled. And also the radiator is in good order.

First thing to check would be the fluid flow through the transmission cooler. If its partially clogged the fluid can't circulate properly. If its clear and fluid flows freely the problem could be a clogged filter or a bad pump.