In plain English
FAR 52.211-14, Notice of Priority Rating for National Defense, Emergency Preparedness, and Energy Program Use, is a solicitation provision prescribed at FAR 11.604(a), most recently dated Apr 2008. The complete official text is reproduced below, verbatim, from GSA's published FAR source files.
Its text contains no sentence requiring insertion into subcontracts; see the flowdown section below for what that does and does not mean.
Does it flow down to subcontracts?
No flowdown mandate found in the clause text
This is a solicitation provision — it applies to offerors when submitting an offer, not to contract performance, so subcontract flowdown is generally not the operative question for it.
Where it's prescribed
As prescribed in 11.604(a), insert the following provision:
Prescribing reference: FAR 11.604(a).
The official text, verbatim
As prescribed in 11.604(a), insert the following provision:
Notice of Priority Rating for National Defense, Emergency Preparedness, and Energy Program Use (Apr 2008)
Any contract awarded as a result of this solicitation will be □ DX rated order; □ DO rated order certified for national defense, emergency preparedness, and energy program use under the Defense Priorities and Allocations System (DPAS) (15 CFR700), and the Contractor will be required to follow all of the requirements of this regulation. [Contracting Officer check appropriate box.]
(End of provision)