IDrac Express ethernet port doesnt look to be working

If this works like the iDRAC6 Enterprise it uses VLAN tagging for sure.

Can`t you install OMSA and check the setup of the iDRAC6 express?

Assuming that each LOM is connected to a different network (as you stated) and assuming that each of your networks uses a different network address, that would explain why you can only connect to the DRAC via one LOM/network and not the other.

For example, if you assigned the DRAC an ip address of 192.168.1.254/24 then you'll only be able to access it when you're connecting to it from a host on the 192.168.1.0/24 network. Now, if the other network is 10.0.0.0/8 (for example) then naturally you won't be able to connect to the DRAC at ip address 192.168.1.254 from a host on the 10.0.0.0/8 network.

Put another way, I can connect any network device to my physical network (Layer 2) but it doesn't have logical connectivity (Layer 3) unless I assign it an ip address in the correct Layer 3 network. In your case, the DRAC has physical connectivity (Layer 2) to both networks but it has logical connectivity (Layer 3) only in the network in which it's ip address is assigned.

So, make sure that you assign the DRAC a static ip address in the management network.

Edit based on our continued conversation and your testing:

Have a look at the info at this link and specifically how it describes shared mode operation:

Shared — Select this option to share the network interface with the host operating system. The remote access device network interface is fully functional when the host operating system is configured for NIC teaming. The remote access device receives data through NIC 1 and NIC 2, but transmits data only through NIC 1. If NIC 1 fails, the remote access device will not be accessible.