Your two moon signs form are 90 degrees apart in a Square relation.
There may be many challenges in this relationship. A compromise is needed from one of you. Your Moon signs indicate that you are not very compatible.
Libra is a Moon sign of friendliness, agreeability, charm and elegance whereas Capricorn is a Moon sign of caution, reservation, responsibility and hard-work. Together the two of you may have some trouble getting along, especially if the Libra Moon cannot learn to come down to the Earthy qualities and strong work ethics of the Capricorn Moon.