In plain English
FAR 52.214-5, Submission of Bids, is a solicitation provision prescribed at FAR 14.201-6(c)(1), most recently dated Dec 2016. 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 14.201-6(c)(1), insert the following provision:
Prescribing reference: FAR 14.201-6(c)(1).
The official text, verbatim
As prescribed in 14.201-6(c)(1), insert the following provision:
Submission of Bids (Dec 2016)
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(a) Bids and bid modifications shall be submitted in sealed envelopes or packages (unless submitted by electronic means)-
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(1) Addressed to the office specified in the solicitation; and
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(2) Showing the time and date specified for receipt, the solicitation number, and the name and address of the bidder.
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(b) Bidders using commercial carrier services shall ensure that the bid is addressed and marked on the outermost envelope or wrapper as prescribed in paragraphs (a)(1) and (2) of this provision when delivered to the office specified in the solicitation.
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(c) Facsimile bids, modifications, or withdrawals, will not be considered unless authorized by the solicitation.
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(d) Bids submitted by electronic commerce shall be considered only if the electronic commerce method was specifically stipulated or permitted by the solicitation.
(End of provision)