So I'm getting ready to start my first run on this game and I wanted to compare against the world record holder. I wanted to do a no taxi glitch run but it's only giving me the unrestricted wr. Can we possibly get a fix to Livesplit so it shows all 8 world records with half of them unrestricted and the other half no taxi?

That sounds like an issue with Livesplit itself rather than anything that could be fixed by anyone here

I mean like, can someone fix it, or do we have to report this issue to Livesplit?

Do this. Use Additional Info tab in your split settings to set the variables.