This document discusses a proposed hybrid technique that combines Fast Fourier Transform (FFT) and Deoxyribonucleic acid (DNA) sequence operations to improve security in Radio Frequency Identification (RFID) authentication protocols. The technique encrypts data using both FFT and DNA encryption methods instead of relying on a single encryption technique. Experimental results show the hybrid technique provides stronger security and faster transmission speeds compared to existing elliptic curve cryptography techniques. It can resist man-in-the-middle, replay, and impersonation attacks. The hybrid technique applies FFT and DNA encryption to the RFID authentication process between a tag and reader.