How to save the form attributes of the back to the page field through the browser's Back button click?

Question

Laravel

Laravel 5 application.
Using Session. Session driver - file.
In the search form 2 selectA. The data in the second one is loaded via ajax after selecting the value in the first one.
The search results are displayed on the next page. When I click on the Home page link - everything is in order, the data is pulled from the session and inserted into the form.
But when I click Back in the browser. Then, only the text input data is pulled up using laravel old('value'), and the selects are empty. If you refresh the page, then the data from the session is inserted.
As I understand it, after pressing the Back button in the browser there is no session? Why are they inserted only after refreshing the page and how can this be fixed.

public function index()
  {
$selected = [
      'auto_brand_id' => Session::get('auto_brand_id'),
      'auto_model_id' => Session::get('auto_model_id')
    ];

        $auto_models = ['' => ''];
        $models = Models_groups::where('brand_id', old('auto_brand_id', $selected['auto_brand_id']))->groupBY('group_name')->orderBY('group_name', 'asc')->get();
        foreach($models as $model){
            $auto_models[$model->group_id] = $model->group_name;
        }
    return view('home', compact('auto_models', 'selected'));
  }

search results

public function for_my_car()
    {
        $input = \Input::all();
        Session::put('search', $input);
        Session::put('auto_brand_id', array_get($input, 'auto_brand_id')); //пишем
        Session::put('auto_model_id', array_get($input, 'auto_model_id')); //пишем
        $searchResult = $this->getSearchResult($input);
        return view('for_my_car', compact('auto_models','searchResult'));
    }

Answer 1

Can be closed.
Problems on the local machine remained. Mac OS 10.10, MAMP. PHP 5.6.2, Laravel 5.0.

Answer 2

Do you use old in the view in inputs?