The backfire effect is a cognitive bias that causes people who encounter evidence that challenges their beliefs to reject that evidence, and to strengthen their support of their original stance.
To persuade through reason, establish a rational and open communication environment, allowing time for information processing. Begin with gentle approaches and use simple analogies rather than technical jargon.
Avoid accusatory language—opt for empathetic phrases like "I feel" or "I understand" to reduce defensiveness. Patience and tactful communication in a relaxed atmosphere foster smoother acceptance of new ideas.
[1] The Backfire Effect: Why Facts Don’t Always Change Minds – Effectivology [5]Want to Win a Political Debate? Try Making a Weaker Argument - Pacific Standard