Libra is an air sign, and Aries is a fire sign, but both are cardinal or leadership signs. This is an outgoing and take charge person, who can also be a team player because of the Libra. Libras like to be in partnerships and are in love with love. Aries Moon people are independent and expressive. They usually like to show off a partner, but may not be in the mood to stay in a long term relationship at the time. If they are, they are lovable and charming.
The Virgo Sun is intelligent and will be able to communicate well. Virgo is ruled by Mercury, so this person is serious and studious. They can also be critical and too focused on details. Since the Moon is in Virgo as well, this is a caring and loving person who worries a lot about health issues. This is someone who will take good care of a partner. Virgo has particular expectations of others. If you don't fit those expectations, you will be nagged to death to change.
My concern here is that the double Virgo will bore and/or aggravate the Libra/Aries person too much. Virgo is an earth sign. If other factors in the charts are good, it could work. But I think in general, as I only know the Sun and Moon positions, the Virgo isn't ambitious or able to let their hair down enough for you to enjoy each other in the long run. Try it and see what happens.