Thank you qfrodo for your reply.
My next business trip to DOH is going to be with QR, YUL-IAD-DOH.
Do you know if QR flights can be credited on any *A FFP?
I think that it works with M&M and UA MP but I would like to be 100% sure.
If I manage to book QR operated flights under UA or LH codes, will such flights credit EQM in UA MP, respectively LH M&M (it works that way with Flying Blue...)?

Thanks again!

Gabriella