What should we do if Homeworlds (such as Penal Colony), grant skills which are then granted by the character's Background?

For example, Penal Colony gives both Common Lore (Underworld) and Scrutiny, and so does Adeptus Arbites.

I'm inclined to lean towards increasing the skills by 10.

Another option is +2 to the relevant stat (Int and Per, here), just like the divinations.

Dunno about DH 2nd Ed but in older editions when a character received a skill twice they advanced it by one level. So Scrutiny would become Scrutiny +10, and so on. If a character got a talent twice, then they received the Talented (Choose One) talent that could be applied to one of their starting skills. Now with the removal of Talented I don't know how that would work in DH 2E, though to be fair Homeworlds don't give talents iirc.

I stack recurring skills, but I haven't run into a situation where talents repeat yet however.