Exhibit 24

                               Power of Attorney

Know all by these presents, that the undersigned hereby makes, constitutes and
appoints each of Mark J. Casey, Bryan M. Reasons and Daniel J. Speciale, or any
of them acting singly, and with full power of substitution and re-substitution,
the undersigned's true and lawful attorney-in-fact (each of such persons and
their substitutes being referred to herein as the "Attorney-in-Fact"), with full
power to act for the undersigned and in the undersigned's name, place and stead,
in any and all capacities, to:

 1.  Prepare, execute, and submit to the Securities and Exchange Commission
     ("SEC") a Form ID, including amendments thereto, and any other documents
     necessary or appropriate to obtain codes and passwords enabling the
     undersigned to make electronic filings with the SEC of reports required or
     considered by the Attorney-in-Fact to be advisable under Section 13 or
     Section 16 of the Securities Exchange Act of 1934 (the "Exchange Act") or
     any rule or regulation of the SEC;

 2.  Prepare, execute and submit to the SEC, Mallinckrodt plc (the
     "Company"), and/or any national securities exchange on which the Company's
     securities are listed any and all reports (including any amendments
     thereto) the undersigned is required to file with the SEC, or which the
     Attorney-in-Fact considers it advisable to file with the SEC, under Section
     13 or Section 16 of the Exchange Act or any rule or regulation thereunder,
     or under Rule 144 under the Securities Act of 1933 ("Rule 144"), with
     respect to the any security of the Company, including Forms 3, 4 and 5,
     Schedules 13D and 13G, and Forms 144;

 3.  Prepare, execute and submit to Irish Companies Registration Office
     and/or any other authority ("CRO") any and all reports, filings or other
     disclosures (including any amendments thereto) related to the undersigned's
     holdings of and transactions in securities of the Company that the
     undersigned is required to file with the CRO, or which the Attorney-in-Fact
     considers it advisable to file with the CRO pursuant to the Companies Act
     2014 of Ireland (the "Companies Act"); and

 4.  Obtain, as the undersigned's representative and on the undersigned's
     behalf, information regarding transactions in the Company's equity
     securities from any third party, including the Company and any brokers,
     dealers, employee benefit plan administrators and trustees, and the
     undersigned hereby authorizes any such third party to release any such
     information to the Attorney-in-Fact.

The undersigned acknowledges that:

 (a) This Power of Attorney authorizes, but does not require, the Attorney-
     in-Fact to act in his or her discretion on information provided to such
     Attorney-in-Fact without independent verification of such information;

 (b) Any documents prepared or executed by the Attorney-in-Fact on behalf of
     the undersigned pursuant to this Power of Attorney will be in such form and
     will contain such information as the Attorney-in-Fact, in his or her
     discretion, deems necessary or desirable;

 (c) Neither the Company nor the Attorney-in-Fact assumes any liability for
     the undersigned's responsibility to comply with the requirements of the
     Companies Act or Section 13 or Section 16 of the Exchange Act or Rule 144,
     any liability of the undersigned for any failure to comply with such
     requirements, or any liability of the undersigned for disgorgement of
     profits under Section 16(b) of the Exchange Act; and

 (d) This Power of Attorney does not relieve the undersigned from
     responsibility for compliance with the undersigned's obligations under the
     Companies Act or Section 13 or Section 16 of the Exchange Act, including,
     without limitation, the reporting requirements under Section 13 or Section
     16 of the Exchange Act.

The undersigned hereby grants to the Attorney-in-Fact full power and authority
to do and perform each and every act and thing requisite, necessary or advisable
to be done in connection with the foregoing, as fully, to all intents and
purposes, as the undersigned might or could do in person, hereby ratifying and
confirming all that the Attorney-in-Fact, or his or her substitute or
substitutes, shall lawfully do or cause to be done by authority of this Power of
Attorney.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 4 or 5 or Schedules 13D or 13G
or Forms 144 and make disclosure under the Companies Act with respect to the
undersigned's holdings of and transactions in securities of the Company, unless
earlier revoked by the undersigned in a signed writing delivered to the
Attorney-in-Fact. This Power of Attorney revokes all previous powers of attorney
with respect to the subject matter of this Power of Attorney.

IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney as of
June 29,2022.

 /s/ Sigurdur O. Olafsson
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Sigurdur O. Olafsson