I don't know if my device is supported, or how I install Cyanogen mod with a Linux PC (Kubuntu 14.04)
Edit1: One year has passed now, and im wondering if this is possible now, with the same phone (LG L65). Using Kubuntu 15.10 now.
In fact, what I realized is that all commands I would use in a Linux machine I can use directly in a terminal in the rooted phone. So I used Linux to put all files in the SD card, and then used the terminal in the phone to mod it.
The steps I followed were:
A tip if you're new to modding like I am: the things you want to install should be copied to the SD card in their zip files. The first time I extracted them to the SD and then I couldn't install after wiping out the phone. Then I had to recover the system from the backup to be able to copy the compressed file to my SD card.
Hope it helps!
Seems like there's no support at the moment, the L65 is not not listed on CyanogenMod's LG supported devices section.