I installed the mod, but it just crashes when I start Minecraft. All the other information you need should be in the log file I attached.

fml-client-latest.log

Update your forge version

I just downloaded it, and it said it was the latest one for Minecraft 1.12.2. Which version should I be using?

You have 14.23.1.2590, which was released at 01/16/18 05:30 AM. Very much not the latest version. TFC needs at least 14.23.5.2816

Ah, I see what I did wrong. I did indeed download that version, but I selected the wrong one from the list in the launcher. It works now; thanks for the help. :)