In the birth chart of boy Mars is placed in the third house from the lagna while in the Moon chart Mars is placed in twelfth house from the Moon. Hence boy is not Mangalik from the Birth Chart but Chandra Mangalik from the Moon Chart.
In the birth chart of girl Mars is placed in the eighth house from the lagna while in the Moon chart Mars is placed in fourth house from the Moon. Hence girl is Mangalik from the Birth Chart and also Chandra Mangalik from the Moon Chart.
As both charts have mangal dosha, marriage can be considered. However, it is important to match other aspects of horoscopes as well before marriage.
Blessings,
Navneet Khanna
Astrologer