You need to go in for what is called a Horoscope Matching Vedic style where they do the ashtkoot guna milan along with Grah milan. They also match the Moon, as Moon is the mind in Vedic astrology, it compatibility is most important. If there is no mental compatbility the couple would end up with many differences which would only complicate their life. Matching of the signs as I can make out from your message is very basic and a western concept and is not recommended as it is not very ellaborate.
God Bless,
Navneet Khanna
astrologer