The video only shows how to copy the main BIOS to the backup BIOS, so they are the same version. If the main BIOS is F5 then the method shown in the video would just copy F5 to the backup as well.
Are you getting an error when you update the BIOS with @BIOS? If so, what is the error? Please be sure you are using the latest version of @BIOS, you can get it here and if you are not sure what version you have installed just uninstall it and install this latest one
http://download.gigabyte.eu/FileList/Utility/motherboard_utility_gbttools_gbt_atbios.exeTo flash the BIOS via @BIOS, please download the latest BIOS version from here, then extract it once. If you do not have winzip, 7zip, or winrar installed, just double click the file and choose where you want to extract it and extract. Then open @BIOS, and first check the "Clear DMI pool" option, then click on the "Update BIOS From File" option on the right, and then browse to your extracted BIOS file (Z68XUD5B3.F10) and click OK to flash
http://www.gigabyte.us/products/product-page.aspx?pid=3848&dl=1#biosThen reboot to the BIOS, load optimized defaults and save/apply/reboot BACK to the BIOS, Once in the BIOS again set your SATA settings to what you need for windows to load IDE or AHCI, ect, then set your memory voltage and any other non-overclock changes you want to make, then save/appy/reboot again and this time on bootup do the flash backup BIOS method from the above video. This will flash your backup BIOS to F10 as well, so then anytime you corrupt or crash the main BIOS it can only copy over the F10 BIOS as F5 will be gone.