Do opposite moon signs have a better & stronger connection than opposite sun signs?

It depends on the opposite. I am direct opposite my partner on the charts but in the case of our pairing it is favorable b/c we share similar predominant traits (such as both quiet people, intuitive). There also major differences in the way that we are that are related to our sun signs as well. I would research online the pairing and see what advice it gives. It never hurts.