From the 2021 Minor League Baseball Umpire Manual (section 5.42, p. 70): referencing rules 5.09(b)(5), 5.09(b)(12), 5.09(c)(2)
If two runners arrive at home plate about the same time and the first runner misses home plate but the second runner legally touches the plate, the first runner may not return to retouch home plate and may be put out on appeal. If the appeal on the runner is sustained for the third out of the inning, neither run scores. [See Official Baseball Rule 5.09(c)(2) Approved Ruling (A).]
If home plate is missed during a time play, the umpire should immediately rule on the time play even if the runner misses the plate. The defense is required to recognize that the plate has been missed. If the defense properly appeals, the umpire should then reverse his prior decision and cancel the run. Even if the runner has returned to touch the plate prior to the appeal, the defense’s appeal is sustained because no run may score after the third out is made.
2021 OBR 5.09(c)(2) APPROVED RULING: (A) No runner may return to touch a missed base after a following runner has scored.
Rule 5.09(c) Comment: If two runners arrive at home base about the same time and the first runner misses home plate but a second runner legally touches the plate, the runner is tagged out on his attempt to come back and touch the base or is called out, on appeal, then he shall be considered as having been put out before the second runner scored and being the third out. Second runner’s run shall not count, as provided in Rule 5.09(d).
5.09(d) Effect of Preceding Runner’s Failure to Touch a Base
Unless two are out, the status of a following runner is not affected by a preceding runner’s failure to touch or retouch a base. If, upon appeal, the preceding runner is the third out, no runners following him shall score. If such third out is the result of a force play, neither preceding nor following runners shall score.