Tex. R. App. P. 60.5
As amended through February 20, 2024
When affirming, modifying, or rendering a judgment against the party who was the appellant in the court of appeals, the Supreme Court must render judgment against the sureties on that party's supersedeas bond, if any, for the performance of the judgment. If the Supreme Court taxes costs against the party who was the appellant in the court of appeals, the Court must render judgment for those costs against the sureties on that party's supersedeas bond, if any.
Tex. R. App. P. 60.5