Do I need to cross my Tx and Rx for an Ethernet AUI interface device?
The transceiver drop cable is more than likely an AUI cable that can be placed between the AUI connector of the Ethernet device (DA15 female) and the AUI connector of the transceiver (DA15 male). It is a simple 15-wire shielded straight cable. It is optional as the device and the transceiver can be connected directly (they have mating connectors).

If the interface on your Ethernet device has different pin names or a completely different number of pins from the AUI standard (no Tx+, Tx-, Rx+, Rx- should be there!), then it may be something completely different, and not an AUI.

If there are only 4 pins, labelled Tx+, Tx-, Rx+, Rx-, then it's likely a 10Base-T or 100Base-TX UTP interface (needs an RJ45 socket only, with or without isolating magnetics).