Mo. R. Civ. P. 81.11
By entering into a supersedeas bond, the surety submits to the jurisdiction of the trial court, and the liability may be enforced on motion for judgment thereon, without the necessity of an independent action. A copy of the motion, and such additional notice of the motion as the court requires, shall be served like a summons upon a surety who resides and can be found in the county where the judgment was entered or who maintains an office and agent in said county where and upon whom such service may be made. If the surety is not a resident who can be found in said county or if the surety maintains no office and agent for service there, at the time such motion is filed, by entering into such bond the surety shall be deemed to have irrevocably appointed the clerk of the trial court as agent upon whom any papers affecting the surety's liability on the bond may be served; and the clerk shall forthwith mail copies of any such papers to such surety at the surety's last known address, by registered or certified mail.
Mo. R. Civ. P. 81.11