Moog (MOG-A) 11-K Annual report of employee stock purchases

Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

We consent to the incorporation by reference in the Registration Statements (No. 333-213373, No. 333-160162, No. 333-152746, No. 333-135222, No. 333-85657, No. 33-57131, No. 33-62968, No. 33-33958, and No. 33-20069) on Form S-8 of Moog Inc. of our report dated March 13, 2020 relating to our audit of the financial statements and supplemental schedule of Moog Inc. Retirement Savings Plan, which appears in this Annual Report on Form 11-K of the Moog Inc. Retirement Savings Plan for the year ended September 30, 2019.

/s/ FREED MAXICK CPAs, P.C.

Buffalo, New York

March 13, 2020