moving object while it has another movement

I want to code hypercasual mobile game "push'em all". I have 2 questions. However firstly, I couldnt figure out how pusher object moves. In game, if I release my finger, player stops and pusher object pushes its enemy. But the thing is ; while it is moving forward and backward, its both position and rotation also is changing according to player object. I mean after you release your finger, while pusher object is moving, you can change the rotation and position of player again, and somehow the pusher object moves accordingly. How can it manage 2 different rotation and position I am totally lost. In my code, it pushes forward and back when I release my finger, but the moment when I press again, the pusher object comes back to its original position immediately beacuse of the first2 line of if statement(Input.GetMouseButton(0)).

Secondly, my pusher object doesnt move forward every time when I release my finger. Someone said "use Input.GetMouseButtonUp(0)" so that it works only mouse release, but in this case, pusher object doesnt come back.

If you could give any suggestion, I really be appreciated. Thanks in advance:)

it is what I did so far;

 private void Update()
         {    **rb is rigidbody
             if (Input.GetMouseButtonDown(0))
             {
                 firstTouchPos = Input.mousePosition;
             }
 
             if (Input.GetMouseButton(0))
             {
                 TransformMovingPusher.position = StablePusher.position;
                 TransformMovingPusher.rotation = StablePusher.rotation;
 
 
                 _pushing = false;
                 deltaTouchPos = Input.mousePosition - firstTouchPos;
                 direction = new Vector3(deltaTouchPos.x, 0f, deltaTouchPos.y);
 
                 rb.velocity = direction.normalized * Speed;
                 if (rb.velocity != Vector3.zero)
                 {
                     rb.rotation = Quaternion.LookRotation(rb.velocity);
                 }
             }
 
             //mouse released
             else
             {
                 _pushed = true;
                 rb.velocity = Vector3.zero;             
                 StartCoroutine("Push", 2);
             }
         }
         
         private IEnumerator Push(float duration)
         {
             if (!_pushing) 
             {
                 Debug.Log("forward!");
                 MovingPusher.AddForce(StablePusher.forward * 500);
                 MovingPusher.velocity = transform.TransformDirection(0, 0, 3);
                 yield return (new WaitForSeconds(2));
                 _returning = true;
                 _pushing = true;
                     
             }
                         
             else if (_returning)            
             {
                 
                 Debug.Log("backward!");
                 TransformMovingPusher.position = Vector3.MoveTowards(TransformMovingPusher.position, StablePusher.position, 0.05f);
 
                 yield return (new WaitForSeconds(1.5f));                                  
                 _returning = false;
             }
 
             else
             {
                 TransformMovingPusher.position = StablePusher.position;
                 yield break;
             }
             
 
         }