Basic Input/Output System on your computer? When you say "manufacture" I assume you are asking who makes the actual flash or EEPROM chips that store the BIOS code. BIOS isn't manuactured; it's firmware, code, 1s and 0s, not an actual tangible component.
If you want to update your BIOS then you need to contact your computer vendor, or findout the make of your mother board and get the correct BIOS from them.