Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

We hereby consent to the incorporation by reference in the Registration Statements on Form S-3 (No. 333-255104) and Form S-8 (Nos. 333-253750 and 333-271415) of Riley Exploration Permian, Inc. of our reports dated March 6, 2024, relating to the consolidated financial statements, and the effectiveness of Riley Exploration Permian, Inc.’s internal control over financial reporting, which appear in this Annual Report on Form 10-K.

/s/ BDO USA, P.C.

Houston, Texas

March 6, 2024