Route didn't move into next page and data didn't saved into database when using next button in JQuery DataTable plugin.

To address the issue where a route doesn't move to the next page and data doesn't get saved into the database when using the next button in the JQuery DataTable plugin, you need to ensure that proper server-side processing is implemented along with the correct usage of the DataTables' ajax functionality. Here's a step-by-step guide to help you resolve the issue:

First, make sure you have the correct setup of the DataTable plugin with server-side processing. You should be using the ajax option in the DataTable initialization. Here's an example of how to initialize the DataTable:

$(document).ready(function() {
    $('#example').DataTable({
        "processing": true,
        "serverSide": true,
        "ajax": {
            "url": "/your_endpoint_url", // Replace with your server-side endpoint URL
            "type": "POST" // If you're using a POST request for server-side processing
        },
        // Other configuration options if needed
    });
});

In your server-side script, you need to implement the logic to fetch and process the data, as well as handle the pagination and data saving. You can use popular PHP frameworks like Laravel or CodeIgniter for this purpose. Here's a basic example using Laravel:

<?php

namespace App\Http\Controllers;

use Illuminate\Http\Request;
use Illuminate\Support\Facades\DB;

class DataTableController extends Controller
{
    public function index(Request $request)
    {
        $length = $request->input('length');
        $start = $request->input('start');

        $data = DB::table('your_table_name')
            ->offset($start)
            ->limit($length)
            ->get();

        $recordsFiltered = DB::table('your_table_name')->count();

        return Datatables::of($data)
            ->addIndexColumn()
            ->addColumn('action', function ($row) {
                // Add any action buttons or links here if needed
            })
            ->make(true);
    }

    public function save(Request $request)
    {
        // Handle data saving logic here
        // For example, update or insert records into the database
    }
}

Make sure that your server-side script is able to handle the incoming requests and process the data accordingly. In the example above, we're using Laravel's Datatables package to make the response easier to work with.
If you're using any action buttons or links in the DataTable, make sure to implement their functionality using AJAX requests to the server-side script.
Finally, test your implementation by navigating through the pages using the DataTable's pagination controls. The route should move to the next page, and the data should be saved into the database.