Abaya mudra is generally will be in the right hand that shows as the symbol of protection (NOFEAR). In this mudra the entire palm is with the straightened fingers which is held in front of the devotees, which gives hope to the devotees that they are blessed and taken care.
This mudra comes in the different modulations in the form of art. The same position in which the palms down is the Varada Mudra. The both mudras can be seen in most of the hindu deity.
Wooden sculpture has this mudra that symbolises the blessings to the family members gives Prosperity, Wealth and Health.
This mudra also called as abaya mudra or abaya hasta.