RED RIVER BANCSHARES INC

UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

WASHINGTON, D.C. 20549

SCHEDULE 14A

(Rule 14a-101)INFORMATION REQUIRED IN PROXY STATEMENTSCHEDULE 14A INFORMATIONProxy Statement pursuant to Section 14(a) of theSecurities Exchange Act of 1934

Filed by the Registrant ☒ Filed by a Party other than the Registrant ☐

Check the appropriate box:

(Name of Registrant as Specified in Its Charter)

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Payment of Filing Fee (Check all boxes that apply):

Dear Fellow Shareholder:

You are cordially invited to attend the annual meeting of the shareholders of Red River Bancshares, Inc. Our annual meeting will be held at our headquarters, located at 1412 Centre Court Drive, Alexandria, Louisiana 71301, on Thursday, May 7, 2026, beginning at 2:00 p.m. Central Daylight Time.

We have elected to provide access to our proxy materials by Internet in accordance with the Securities and Exchange Commission’s “notice and access” rules. Accordingly, on or about March 13, 2026, we are mailing a Notice of Internet Availability of Proxy Materials to all shareholders of record as of the close of business on February 27, 2026, explaining how to access all of our proxy materials and vote their shares, as well as instructions on how to request a paper or e-mail copy of our proxy materials. These proxy materials will be available free of charge. We continue to focus on ways of improving how our shareholders can access information about us and believe that providing our proxy materials by Internet increases the ability of our shareholders to access the information they need, while at the same time reducing the cost and materials of our annual meeting.

To ensure that your vote is recorded promptly, please vote as soon as possible, even if you plan to attend the meeting in person. For instructions on voting, please refer to the instructions in the Notice of Internet Availability of Proxy Materials that you received in the mail or, if you requested a paper copy of the proxy materials, on the accompanying proxy card. You can request to receive proxy materials via the Internet, by email, or by telephone, and you can vote via the Internet, by mail, by telephone, or in person at the annual meeting. You will find our proxy statement, 2025 Annual Report to Shareholders, and other important information at our website: www.redriverbank.net.

Your vote is important. We hope that you will be able to attend the 2026 annual meeting of shareholders. We appreciate your continued support of the Company.

NOTICE OF ANNUAL MEETING OF SHAREHOLDERS

TO BE HELD ON MAY 7, 2026

You are hereby invited to attend the 2026 annual meeting of shareholders of Red River Bancshares, Inc.

WHEN Thursday, May 7, 2026, beginning at 2:00 p.m. Central Daylight Time.

WHEREThe annual meeting will be held at our headquarters, located at 1412 Centre Court Drive, Alexandria,

Louisiana 71301, in the Board room on the third floor.

RECORD Shareholders of record as of the close of business on February 27, 2026 will be entitled to notice

DATE of and to vote at the 2026 annual meeting of shareholders.

ITEMS OF 1. To elect eight directors to serve on our board of directors until our 2027 annual meeting of

BUSINESS shareholders, or until their successors are duly elected and qualified;

2. To ratify the appointment of EisnerAmper LLP as our independent registered public

accounting firm for the year ending December 31, 2026; and

3. Such other business as may properly come before the annual meeting or any adjournment

or postponement of the annual meeting.

PROXY Our proxy materials, which include the proxy statement, proxy card, and 2025 Annual

MATERIALS Report to Shareholders, are first being made available to shareholders on or about March 13,

2026. You may access the proxy materials electronically under the “SEC Filings” tab on the

“Investor Relations” page of our website atwww.redriverbank.net or by visiting the website

www.proxydocs.com/RRBI referenced on your Notice of Internet Availability of Proxy Materials.

BY ORDER OF THE BOARD OF DIRECTORS

R. Blake Chatelain

President and Chief Executive Officer

TABLE OF CONTENTS

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PROXY STATEMENT

FOR

ANNUAL MEETING OF SHAREHOLDERS

to be held on Thursday, May 7, 2026

The date of this proxy statement is March 13, 2026.

In this proxy statement, when we refer to “Red River Bancshares,” “the Company,” “our Company,” “we,” “our,” and “us,” we are referring to Red River Bancshares, Inc. When we refer to “the Bank,” we are referring to Red River Bank, our wholly-owned subsidiary.

This proxy statement contains information about our 2026 annual meeting of shareholders. The meeting is scheduled to be held on Thursday, May 7, 2026, beginning at 2:00 p.m. Central Daylight Time, at our corporate headquarters, located at 1412 Centre Court Drive, Alexandria, Louisiana 71301.

We are furnishing this proxy statement in connection with the solicitation of proxies by our board of directors for use at the 2026 annual meeting of shareholders and for any adjournment or postponement of the meeting.