Armenian Meaning: The name Anoush is an Armenian baby name. In Armenian the meaning of the name Anoush is: Sweet tempered. SoulUrge Number: 1.Expression Number: 6. People with this name have a deep inner desire to use their abilities in leadership, and to have personal independence.They would rather focus on large, important issues, and delegate the details.he name Anoush is an Armenian baby name. In Armenian the meaning of the name Anoush is: Sweet tempered. SoulUrge Number: 1.