Yes sir you right. I am the PA.When i will apply for SIN/ PR card, and eventually for canadian passport, it will ask surname of mother at birth, which Ruxana Aziz Poli. So i am worried as it differs from the name written in my current non-canadian passport / All certificates . so throughout the life i will carry two name of my mother..
Okay, to repeat what I've put several places now: virtually no Canadian documents will record your mother's name. It's not on passport, it's not on PR card, it's not on SIN (there's no more sin card anyway, just a number).
Now in your first post on this you wrote:
"During PR process, in schedule A, i mentioned my mother name at birth as per her passport."
As far as I can tell (but may have missed because you keep posting all over the place so hard to tell for sure), you actually haven't provided your mother's birht certificate or the name on the birth certificate - the ONLY document that's different in this respect about your mother's name - to anyone.
So: don't. Just use the one you provided.
FYI: for the most part, the only Canadian institutions that will ever use your mother's birth name / maiden name are ones that
ask you that name. And they mostly only use this as a security question, they don't check it. So don't give them any other name. (Or if only for security purposes, you can use any name at all, as long as you don't forget what you did).
In those contexts no-one is checking your mother's birth certificate.
Don't complicate things needlessly.