Connection issue on coop campaign MCC

Me and my friend have a real issue in Halo MasterChiefCollection.
In all the others games, even in the multiplayer of MCC we don’t have any problem, stable connection, he have 10ms of ping and me near 30ms
The problem is that in all coop campaign of MasterChiefCollection, the one who host the game don’t have any problems but the other guy literally lag, there is huge lags, for instance the other one no synchronisation between the moment when you push de button of the grenade and when the grenade is throw.