Cross Connectivity with Switch for Access and Trunk Port ?

LB1 1.1  -  SW1-1
LB1 1.2  -  SW2-2

LB2 1.1  -  SW2-1
LB2 1.2  -  SW1-2

If you connect it up as above, with no other config, then you'll be putting a loop in your network, and spanning tree on your switch will block one of the ports.

But you can achieve this by using an aggregate link (port-channel in Cisco terminology) across both switches, as long as the switches are also set up to act as a single switch using (VSS or vPC)[http://www.cisco.com/c/en/us/products/collateral/switches/catalyst-6500-series-switches/white_paper_c11_589890.html])

Note that there is some ambiguity around the word 'trunk', which Cisco uses to refer to a link that contains more than one VLAN, and most other vendors (F5 included) use trunk to refer to an aggregate link containing multiple physical links, and which optionally uses LACP as a control protocol. Cisco calls this a port-channel.

We have some more information on using Cisco VPC with F5 devices in SOL13142