Thank you for asking this question.
Facebook has set a limit, which is sharing a given number of albums through their API for one Facebook page. They share a maximum of 200 Albums per Facebook page. And since you have reached the limit that Facebook has set, therefore the new Facebook albums are not shared through their API and cannot be pulled into your EmbedSocial account.
This is completely up to Facebook and as a workaround, besides adding the new albums on your current Facebook page, you can add them on a new Facebook page as well (which does not have to be an active one), and then connect that new Facebook page to EmbedSocial, so these albums can be pulled. Please note that this Facebook page doesn't need to be an active one, you just need to post these albums on the new page so they can be pulled inside your EmbedSocial account.
So to sum up: You will use your current Facebook page to entertain your Facebook followers, and you will use the new Facebook page to get the new albums on your website.
This limit is directly from Facebook's end, for which we have reached out many times regarding this but still no response from their end.