Search and Pagination

Pagination works simple and well when I list my db with 600 records

But when I have to include a search, only the first page of the pagination works well and counts the records correctly, when I click on the second page the system disregards the item searched and returns to list all the pages.

Please help me to implement the code correctly.

Code:

public function search(){     
            
        $model = new MyModel;
        $name = $this->request->getVar('name') ;
    
        $data = [
            'value' => $model->orderBy('uf', 'asc')
            ->like('name', $name)
            ->paginate(10),
                    
            'pager' => $model->pager
            ];


    echo view('mycontroller/search',$data);

}