Magento 2 | Add Filters of Layered Navigation to custom collection

I asked this question because I would like to explain myself better.

In my CMS page I have recalled my custom collection in this way:

        $blockProductColl = $block->getLayout()->createBlock('CatalogProductBlock        ProductCollection');
$collectionSearch = $blockProductColl->getProductCollectionSearch();
        $joinConditions = 'e.entity_id = tier.entity_id';
        $collectionSearch->getSelect()->join(
             'catalog_product_entity_tier_price as tier',
             $joinConditions
            ) 
              ->where('tier.all_groups = 0')
              ->where('tier.customer_group_id = '.$groupId.'')
              ->where('tier.qty <= '.$qtyCollSearch.'')
              ->where('tier.value <= '.$priceItem.'')
              ->where('tier.website_id = 0');

I was also able to add layered navigation via the xml file, but I can’t see filters like color, size, price etc …
For the moment this is my code:

<?xml version="1.0"?>
<!--
/**
 * Copyright © Magento, Inc. All rights reserved.
 * See COPYING.txt for license details.
 */
-->
<layout xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_layout.xsd">
    <update handle="2columns-left"/>
    <referenceContainer name="columns" htmlTag="div" htmlClass="page-layout-2columns-left">
        <container name="div.sidebar.main" htmlTag="div" htmlClass="sidebar sidebar-main menu-left" after="main">
            <container name="sidebar.main" as="sidebar_main" label="Sidebar Main">
                <block class="MagentoLayeredNavigationBlockNavigationCategory" type="catalog/layer_view" name="catalog.leftnav" before="-" template="layer/view.phtml">
                   <action method="setCategoryId"><category_id>2</category_id></action>
                </block>
            </container>
        </container>
    </referenceContainer>
</layout>

How can I do to view the filters related to my custom collection?