You want to add a VirtualMachine PortGroup to vSwitch2 you've added with the crossover cable on it. Call it VMRepNetwork. Then Add a second NetworkAdapter to the Veeam VM and put that PortGroup on it and assign the Veeam VM 192.168.2.3. See if you can ping 192.168.2.1 from Veeam
Prod
vSwitch2
VMKernel with 192.168.2.2
***VMRepNetwork assign NetworkAdapter2 on Veeam 192.168.2.3 no gateway
Backup
vSwitch1
VMKernel with 192.168.2.1