Just finished one of the worst games ever. Two idiots who teamed up rolled over my team, admitted, but they continued ****-talking and insulting everyone for straight 40 minutes. I and at least 2 other people (one from their team) reported them.

Is there any chance those idiots will get what's coming to them, or did I just waste time reporting? -.-

Your single report will not be enough to ban them (unless it's really bad, like impersonation of riot staff). But your report can be the report that reaches the threshold of banworthy, so I would continue to send reports in on these type of players. It's like voting.