Hybrid EFI, is a Gigabyte BIOS that came out in 2011. In 2007, EFI BIOS for Intel based comps was upgraded to Unified EFI (UEFI.)
When Gigabyte first came out with their Hybrid EFI BIOS, it was buggy but BIOS updates fixed the problems. One very good thing about Gigabyte boards is that BIOS updates are easy and safe.