(a) Continuing Jurisdiction. Even after the trial court's plenary power expires, the trial court has continuing jurisdiction to do the following:
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(1) order the amount and type of security and decide the sufficiency of sureties; and
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(2) if circumstances change, modify the amount or type of security required to continue the suspension of a judgment's execution.
(b) Duties of Judgment Debtor. If, after jurisdiction attaches in an appellate court, the trial court orders or modifies the security or decides the sufficiency of sureties, the judgment debtor must notify the appellate court of the trial court's action.