Is there a more optimized way for this MySql Query
As you have no range specific functions applied in the SELECT clause I don't understand why you need the GROUP BY clause.

The expression is way to simple to be optimized (its hard to see how you can go wrong).  

For any optimization advice you will need to provide the table definitions and an explanation of the Normal Form the data has been decomposed to. Optimization of SQL queries usually lies in the table structure and not decomposing the data to full actualized third Normal Form.