On appeal in any case taken from the district court to the Court of Appeals or Supreme Court, other than an appeal pursuant to section 71-6904, the appellant or appellants shall, within thirty days after the entry of the judgment, decree, or final order sought to be reversed, vacated, or modified or within thirty days after the entry of the order overruling a motion for a new trial in such cause, (1) file in the district court a bond or undertaking in the sum of seventy-five dollars to be approved by the clerk of the district court, conditioned that the appellant shall pay all costs adjudged against him or her in the appellate court, or (2) make a cash deposit with the clerk of at least seventy-five dollars for the same purpose. If a supersedeas bond is executed, no bond for costs shall be required. The giving of either form of bond or the making of such deposit shall be certified to by the clerk of the district court in the transcript for the appellate court. The appeal may be dismissed on motion and notice in the appellate court if no bond has been given and certified in the transcript or within such additional time as may be fixed by the appellate court for good cause shown.