Your two moon signs form an angle 90 degrees apart (a Square).
There may be many challenges in this relationship. A compromise is needed from one of you to overcome the grating feeling you may have on each other. You may share little understanding and opinion, especially from a feeling aspect, your Moon signs indicate that you are not particularly well matched:
Sagittarius is typically a Moon sign of enthusiasm, friendliness and sociability that does not like being held down, while a Virgo Moon is very practical, modest, instinctive and usually quiet. The Virgo Moon would have to accept the charm and flightiness of the Sagittarius Moon for this relationsihp to be sucessful.