Step 1: Understanding the Concept:
Logotherapy is a form of psychotherapy founded by Viktor Frankl. The name is derived from the Greek word "logos," which translates to "meaning." Frankl's theory is based on the idea that the primary motivational force in humans is a "will to meaning."
Step 2: Detailed Explanation:
Let's analyze the goals described in the options:
\begin{enumerate}
To unlearn faulty behaviour patterns: This is the primary goal of Behavioural Therapy.
To facilitate the client to find the meaning of his/her being: This is the central and defining goal of Logotherapy. Frankl believed that psychological distress often stems from an "existential vacuum," a feeling of meaninglessness, and that therapy should help individuals discover their unique meaning in life.
Cognitive restructuring which in turn reduces anxiety: This is the main goal of Cognitive Therapy (like CBT or REBT).
To increase an individual's self-awareness: While this is a goal of many therapies (especially humanistic ones), it is too general. Logotherapy's specific focus is on awareness of and finding \textit{meaning}.
\end{enumerate}
Step 3: Final Answer:
The most appropriate and specific goal of Logotherapy is to facilitate the client to find the meaning of his/her being.