I managed to find out how to remove certain mods without touching the modpack.jar or minecraft.jar. All I did was
1. Navigate to C:\Users\[userName]\AppData\Roaming\.techniclauncher\launcher
2. Choose the modpack I want to modify
3. Open modpack.yml
4. Remove the mods from the version I wanted to
5. Open techniclauncher options and clear cache
6. Reinstall your modpack
7. Profit!