Any missing badges will award the next time the appropriate action is triggered that will make it re-evaluate. For instance, Reaction-based badges will trigger the next time you get a reaction of that type. That's why Tim 'awesomed' your comment.
@Tim I am wondering since I have 26 awesome reactions if I get my 25 Awesomes badge when the Badges come on. My general question is: "Does anyone who earns a valid badge get the badge when the badge system starts working again?"