IP forwarding Virtual Server not working for Internal Servers

Assuming you've configured the IP Forwarding VS properly, you need the correct routing in place. While you have next hop gateways on the way out, there's nothing for the internal network traffic coming in.

You want the F5 external self IP to be in the external network 192.168.0.0/24 and then whatever device you have on the gateway address 192.168.0.1, have a static route for the 10.2.0.0/24 internal network with the next hop being the F5 external self IP.