Genesis doesn't have a 10/100 extended warranty. It is only 6/75 and applies to CPOs. There is 10/100 powertrain for original owner and CPO as well.
Otherwise used units are 5/60 and you will need to purchase a 3rd party for anything beyond that. I recommend Endurance, Zurich, and Fidelity. They are all a bit on the pricey side - even if you buy them direct. But they are the ones that give the least pushback when you try to make a claim (although lately Endurance has been reported as faltering there).
Route66 is the only more "budget" friendly one that offers the least amount of pushback.
Do not consider any other branded 3rd party warranty - you will be denied out of the gate on any claim, and it will be an uphill fight to get repairs approved. Remember the insurance companies exist to make money - not to take care of your car (or eyes, teeth, health, house, life, etc).
Do not purchase the 3rd party warranty through a dealer. They will mark it up sky-high. Sometimes 300-500% over what you could buy it directly for. This is pure profit for the dealer, and is one of their biggest generators. This is also why most dealers only sell 3rd party warranties and do not even offer extended factory at all (other than when it comes with CPO).
Get quotes directly from the 3rd parties mentioned above, or at worst contact your credit union and see who they used. Yes - I said credit union... that's what you should be using, not a commercial bank (who also only exist to make themselves money).
Good luck.