This link might help you: https://swissuplabs.com/blog/practical-guide-magento-and-magento-2-layered-navigation/
XML to show layered navigation on home:
<referenceContainer name="sidebar.main">
<block class="Magento\LayeredNavigation\Block\Navigation\Category" name="catalog.leftnav" before="-" template="layer/view.phtml">
<block class="Magento\LayeredNavigation\Block\Navigation\State" name="catalog.navigation.state" as="state" />
<block class="Magento\LayeredNavigation\Block\Navigation\FilterRenderer" name="catalog.navigation.renderer" as="renderer" template="layer/filter.phtml"/>
</block>
</referenceContainer>
XML to show products:
<referenceContainer name="content">
<block class="Magento\Catalog\Block\Product\ListProduct" name="category.products.list" as="product_list" template="Magento_Catalog::product/list.phtml">
<container name="category.product.list.additional" as="additional" />
<block class="Magento\Framework\View\Element\RendererList" name="category.product.type.details.renderers" as="details.renderers">
<block class="Magento\Framework\View\Element\Template" as="default"/>
</block>
<block class="Magento\Catalog\Block\Product\ProductList\Item\Container" name="category.product.addto" as="addto">
<block class="Magento\Catalog\Block\Product\ProductList\Item\AddTo\Compare"
name="category.product.addto.compare" as="compare"
template="Magento_Catalog::product/list/addto/compare.phtml"/>
</block>
<block class="Magento\Catalog\Block\Product\ProductList\Toolbar" name="product_list_toolbar" template="Magento_Catalog::product/list/toolbar.phtml">
<block class="Magento\Theme\Block\Html\Pager" name="product_list_toolbar_pager"/>
</block>
<action method="setToolbarBlockName">
<argument name="name" xsi:type="string">product_list_toolbar</argument>
</action>
</block>
</referenceContainer>