It is not uncommon to see some difficulty with passive shooting initially. Although nothing really changes between how you shoot in the daytime and with the NVGs on, there can be some challenges with getting comfortable shooting through the NVGs.
Yes, the BAC can work, but like others have mentioned, it's range and accuracy are suspect beyond a certain distance. Everybody else's comments about risers, etc are on point too.
Getting the optic as high as possible (Unity Tactical makes a great mount for the Eotech) will help you acquire the dot easier.
Without the riser, getting the optic a little more away from your goggle will help--moving the optic on the upper receiver (if possible), extending the buttstock.
And then just get the dry reps in. Do it in the daytime without NVGs on--super easy--and then add the NVGs. Just to get familiar with the motion and where everything should be. Then doing it at night with the goggles on.