Laravel 5 - How to check username & password is match with table?

try using auth attempt

    $email=$request->email;
    $password=$request->password;

     if(Auth::attempt(['email'=>$email,'password'=>$password]))
       {
                return redirect()->intended('admin/dashboard');
         }

this will check authentication

Here you can read official documentation

http://laravel.com/docs/5.1/authentication#authenticating-users

Update

first you need to create table called users

id|username|password|email|remember_token|created_at|updated_at

then in your user model

protected $table = 'users';

  protected $fillable = ['username', 'email', 'password'];

whichever column you want to insert data that should write in fillable array and created_at and updated_at type is datatime in mysql so it automatically insert data and time

In your user controller

 public function loginPost(Request $request)
        {
            $email=$request->email;
            $password=$request->password;
           if(Auth::attempt(['email'=>$email,'password'=>$password]))
           {
                return redirect()->intended('admin/dashboard');
           }

           return Redirect::to('login');
        }

and note that auth::attempt will automatically hash password so you no need to hash password.

Before login authentication insert one record and Hash password.

$data=[];
$data['email']=$request->email;
$data['password']=Hash::make($password);
User::create($data);

update 2

  public function insert()
    {
         $data=[];
    $data['email']=$request->email;
    $data['password']=Hash::make($password);
    AdminLoginModel::create($data);
    }

try like this

login.blade.php

<!DOCTYPE html>
<html>
<head>
    <link rel="stylesheet" href="//netdna.bootstrapcdn.com/bootstrap/3.0.0/css/bootstrap.min.css">
</head>
<body>
<div class="container">
<h3>Login Form</h3>  

{!! Form::open(array('url' => 'login', 'method' => 'post')) !!}
<div class="form-group">
    {!! Form::label('UserName') !!}
    {!! Form::text('username', null,
        array(
              'class'=>'form-control',
              'placeholder'=>'Your UserName')) !!}
</div> 
<div class="form-group">
    {!! Form::label('password') !!}
    {!! Form::text('password', null,
        array(
              'class'=>'form-control',
              'placeholder'=>'Your Password')) !!}
</div>

<div class="form-group">
    {!! Form::submit('Login',
      array('class'=>'btn btn-primary')) !!}
</div>
{!! Form::close() !!}

</div>
</body>
</html>

Model:-

<?php namespace App;

use Illuminate\Auth\Authenticatable;
use Illuminate\Database\Eloquent\Model;
use Illuminate\Auth\Passwords\CanResetPassword;
use Illuminate\Contracts\Auth\Authenticatable as AuthenticatableContract;
use Illuminate\Contracts\Auth\CanResetPassword as CanResetPasswordContract;

class UserRegisters extends Model implements AuthenticatableContract, CanResetPasswordContract { 
    use Authenticatable, CanResetPassword;
    protected $table = 'userregisters';
    protected $fillable = ['user_name', 'password'];
}
?>

Controller:-

<?php namespace App\Http\Controllers;
use Input;
use App\Http\Requests;
use App\User;
use App\UserRegisters;
use App\UserProfiles;
use Validator;
use View;
use Auth;
use App\Http\Controllers\Redirect;
use Session;
use Hash;
use DB;

class UserRegisterController extends Controller
{
    /**
     * Login a Registered Users.
     *
     */
    public function login(){
        $uname = Input::get('username');
        $password = Input::get('password');
            if (Auth::attempt(array('user_name' => $uname, 'password' => $password))){
            return "success";
            }
            else {        
                return "Wrong Credentials";
            }
        }
    }
}   

route:-

Route::post('/login', 'UserRegisterController@login');

migration:-

<?php

use Illuminate\Database\Schema\Blueprint;
use Illuminate\Database\Migrations\Migration;

class Userregisters extends Migration
{
    /**
     * Run the migrations.
     *
     * @return void
     */
    public function up()
    {
        Schema::create('userregisters', function($table)
        {
            $table->increments('id');
            $table->string('first_name', 128);
            $table->string('last_name', 128);
            $table->string('user_name', 128);
            $table->string('password', 128);
            $table->string('email', 128);
            $table->timestamps();
        });
    }

    /**
     * Reverse the migrations.
     *
     * @return void
     */
    public function down()
    {
        Schema::drop('userregisters');
    }
}

let me know if there any errors.