you just need to do a report of birth abroad at the US embassy. They will ask for your proof of the US citizenship (Your US passport should work) and then they will most probably ask for kids medical,school or baptismal records. The list is inconclusive but I believe the embassy will help. Just remember the kids should be 18 or under for automatic citizenship. Side note: It’s cheaper too than doing it from here (about $100-$300). Praying you get your kids over

they where born in overseas and citizen in the country they born (home country ) before I became citizen .. yes they are below 12 years . so you mean I just take their birth certificate (home country) to the embassy (at home) to register their birth

Hi here is a link to my home country’s(Kenya) page that might be helpful but I believe your home country too will have the same process https://common.usembassy.gov/en/crba/#apply

It should be a straightforward process