No, There will be no verfication again in second round of counseling in state qouta andra Pradesh for mangement qouta. As the doccument verification has been done for once only before the counselinh you need not to verify your doccuments again and again in every counseling round. 

As well as there is no need of verification again. Once its done it means its done. You can take part in every counseling session until and unless the seat has been alloted to you. I hope this helps you out. All the best have a great future ahead.