Give the Quaternion Rotation an offset of 90°

By the Results i got from researching im not really able to give my GameObject a 90° Offset Rotation.

The relevant script is:

 void Rotating (float lh, float lv)
     {
         Vector3 targetDirection = new Vector3 (lh, 0f, lv);
         
         Quaternion targetRotation = Quaternion.LookRotation (movement, Vector3.up);
         
         Quaternion newRotation = Quaternion.Lerp (GetComponent<Rigidbody> ().rotation, targetRotation, turnSmoothing * Time.deltaTime);
         
         GetComponent<Rigidbody>().MoveRotation(newRotation);
 
 
     }

The main problem is that when i move forward the Character is looking to the left, when i move to the left he's looking back etc....