How to hard sub ".***" subtitle file to a ".mov" video

I used Aegisub to create subtitles, so my file is ".***" and my video file (edited in FCPX) is a ".mov" file. I need to hardsub my subtitles, and I have tried Handbrake, VLC, Jubler, MKVtoolnix, and a couple of other obscure programs, but I can't figure out what to do. I've tried finding a program to convert my subtitle file to ".srt" but that hasn't been successful either. Handbrake seems like it /might/ work if I could convert my subtitles to ".srt." Does anyone have suggestions?

Thanks!