Tag they were served notice of appeal

A legal term!

"Tag they were served notice of appeal" is a phrase that means "they were served with a notice of appeal". In other words, a party (in this case, "they") was formally notified that an appeal is being filed against a decision or judgment made in a court case.

Here's a breakdown of the phrase:

So, when someone says "tag they were served notice of appeal", they're simply saying that the party was formally notified that an appeal is being filed against a previous court decision.