In plain English
FAR 52.222-22, Previous Contracts and Compliance Reports, is a solicitation provision prescribed at FAR 22.810(a)(2), most recently dated Feb 1999. 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 22.810(a)(2), insert the following provision:
Prescribing reference: FAR 22.810(a)(2).
The official text, verbatim
As prescribed in 22.810(a)(2), insert the following provision:
Previous Contracts and Compliance Reports (Feb 1999)
The offeror represents that-
It □ has, □ has not participated in a previous contract or subcontract subject to the Equal Opportunity clause of this solicitation;
It □ has, □ has not filed all required compliance reports; and
Representations indicating submission of required compliance reports, signed by proposed subcontractors, will be obtained before subcontract awards.
(End of provision)