I suspect that is a bit misleading. I don't think they are measuring Cepheid variables at 14,000,000,000 light years.
Well, I guess they don't need to. If they can measure them at 10,000,000 light years and see the redshift variation nearby and then extrapolate.
It is a lot like we are not at the center of the Big Bang which I don't believe in.
Yes, they use different measuring techniques depending on how remote the target objects are. Cepheid variables are only good to a particular distance.