Appeal or Out

[SE Minnestoa Re]

I've been umpiring a long time and had something happen last night at the varsity level I have never experienced before.

I'm on the bases and a great partner behind the dish. Runners on first and second. Two outs. Ball hit to the gap. R1 scores easily. Throw coming to the plate is cut off and the batter is easily thrown out at third for the third out. From my look, runner at the plate should have easily scored before the final out was made.

The problem is that the R2 never touched the plate. After the third out was recorded at third, he touched the plate. The plate umpire ruled no run because the third out was recorded prior to him touching the plate. No arguments from offensive coach.

During our post game, we discussed whether or not this is an appeal play with a potential fourth out. But that usually happens when a force play is created by missing a base.

My question is was the plate umpire correct in not counting the run or should we have done something else?