Hi, Jane,
Hi Andrij,I am trying to follow your logic because I think you are a bit stuck. I noticed you didn't have any monuments on Wikimedia Commons yet, so I just created some categories there for you and a template which you can see here:
As the template indicates, you need to put in the logo of your heritage organization (I used the Ukraine flag) and the url to your heritage register (I used foo.org).
I don't think you have one, but then you need to make one,
because this link has to go somewhere, I think, otherwise you will not satisfy the need for notability of the photo on Commons. I labelled this bridge with the number from your list: K-0102
Next I saw that you added the data about your list to the 2011 page, but doesn't this need to be on the 2012 page?