I am from the US, and was wondering if any kit works on every home toilet.
After trying to make the wrong replacement handle work, I’m gonna cast my vote as no.
No. A lot of them work with each other, but not all toilets are the same.
Not exactly universal but there is wide compatibility. If it looks the same then you are probably ok, but you need the right type.
If the “kit” says it’s “one size fits all” or similar wording, check the instructions that come with it on how to adjust it for things that are likely to vary.
Otherwise, you’ll probably need to take measurements or, if you’re lucky, there’ll be make and model numbers on the existing parts that you can use to get replacements or new internal parts.
If you’re really unlucky, you have a bizarre but genius-designed toilet made by a now out-of-business manufacturer who found novel and unique ways around patents and lawsuits and you’d be better off replacing the whole thing.