I'm replacing the hinges on my cabinet and this hinge won't allow the cabinet door to close tight. It appears the hinge is rocking on the cabinet face when I try to push the door tight. I've tried a couple different hinges without luck.
It looks rather like the door is interfering (touching) with the frame somewhere. Watch the door carefully as you close it and see if it touches anywhere. Even a slight interference can cause that issue.
This can sometimes be corrected by adjusting the hinges. If that does not work you may need to add a spacer behind the hinge, maybe a couple of washers, to offset the door a little from the frame on the hinge side. That should provide enough clearance for the door without being overly noticeable.