Just update with your marriage certificate and a note that you got married; if you thought your relationship info was thin, you might include a few photos of the wedding/reception.
Depending what stage the processing is at, it might speed up the evaluation of the file - basically making it easier to pass/meet the test of the validity of the common law relationship (evidence of 12 months residing together + relationship info). Obviously if the common law evidence was really thin or outright deficient, it might help a lot (avoid request for more info or PFL or even refusal).
Since sometimes that 'residing together as a couple' info requires a subjective analysis (as opposed to the more simple 'is the marriage certificate valid'* test), it can make it easier for the IRCC officer to decide/approve. But that's in case where it comes at the right time (before the common law evaluated) and the common law info is either really voluminous or hard to evaluate; otherwise the difference might be unnoticeable.
Keep in mind for straigthforward cases this is low down on the list of things that slow an application - security and some other factors often/usually most important.
*There is technically a bit more, like confirm it's not bigamous (eg if person was married/not divorced), or a proxy marriage, but probably won't come up in this context.
Thanks for the info. It helps a lot.
For proof of our common law relationship, I provided our rental agreement, joint phone bill, joint band account, same address letters we received. Also some travel records we have in common. A lot of documents were provided.
1. My biggest concern is that I started the CL relationship with my current common law partner only 1 month after my separation with my previous common law partner.
I am so worried that only 1 month window period is too short and I entered into another common law relationship so quickly. In my application, I gave detailed explanation that we(my current partner) had known each other for long time and had solid emotional basis that's why it was quick. But our relationship is for real, and we just plan to get married recently.
2. Our 12 months cohabitation was from Feb 2022 to Feb 2023. I returned to Canada later and we maintained our relationship continuously but we cannot live together as his TRV visa got denied. Someone told me that from Feb 2023 to the present, we did not live together since Feb 2023 for a long time so assessing our outland common law relationship can be a real challenge.
What are my best options now? Thanks so much.