You can't 'repair' them. All you can do is cross your fingers and hope. In due circumstances ruse ie several months time you can cut out the definitely dead bits.

ps I've been trying to make out the leaf arrangement. Are you 100% sure it's box?

Thank you for you reply! All my fingers and toes are crossed lol I have been removing any dead debris and giving them all the love I can. I have applied bush feed by “Bioadvance” to try and support them along with proper watering cycles. I’m pretty sure they are box, if not then I’ve been wrong my whole life lol

Talking about the next time, my advice is, never use any herbicides. Weeding is a healthy exercise much needed in this era of cars, Internet, and TV. And much healthier for the environment.

@rhizo_1 Thank you for the suggestion. I see my errors in such a harmful chemical choice. I may take @windberry's advice and just get some extra exercise in the day. lol

However, from my understanding, Nutsedge needs to be killed from underground rather than simply pulled. Please correct me if I am wrong or am missing info lol

And as I understand you have already killed your Yellow Nutsedge. My advice is for the future in general. And, yes, pulling it is one of the methods to choose from http://www.missouribotanicalgarden.org/gardens-gardening/your-garden/help-for-the-home-gardener/advice-tips-resources/pests-and-problems/weeds/yellow-nutsedge.aspx