I'm actually residing near LYS these days and go to GOT from time to time. First of all, I don't at all get where you work? The biggest thing in GOT is Ericsson and the biggest thing in LYS other than CL is either Interpol or maybe Renault?
Anyhow, KLM is probably the best choice for you. Sometimes I'll do LYS-MUC-GOT on LH if I can get it cheap. Otherwise I do LYS-AMS-GOT on KL which is usually the cheapest. And if I'm just going one-way, I'll buy a round-trip and throw away the return as advised by others.