If you are on LE11.0.6 then that is the most recent release you'll get from rpi-eeprom-update -a - the EEPROM firmware files are included in the image so they'll be whatever was current at release time.
Use LE12 nightlies or the LE12 beta (which should be likely released today or tomorrow) to get newer EEPROM or write the latest EEPROM release from https://github.com/raspberrypi/rpi-eeprom/releases here to a spare SD card to manually update the EEPROM to some desired version.
Another option is to download a RPi5 pieeprom file from here https://github.com/raspberrypi/rp…r/firmware-2712 and then run rpi-eeprom-update -f pieeprom-YYYY-MM-DD.bin
so long,
Hias