If you don't know the version of your backup, then you need to use this guide or this guide to restore your Switch. When you're done with the guide, you will have to update to 8.1.0 before it will boot normally (i.e. without fusee-primary or Hekate), assuming your fuses were burnt.before the restore it was on 8.1.0. I am not sure about the versione of the backup. I think it's the 4.1 if i recall it correctly
If you're confident your backup was from 4.1.0, you can try only doing Steps 0-6 in the first guide using 4.1.0. If that doesn't work, do the whole guide.