To display Tweakwise Commerce Pages on your collections, create a custom Tweakwise Product Grid section.

In the code editor, create a new section tweakwise-product-grid.liquid and copy the following snippet:

{%- style -%}
  .tw-skeleton__container { min-height: 100vh; }
  .tw-skeleton { background: #f2f2f2; margin-bottom: 20px; min-height: 1.5em; }
  .tw-skeleton.is-low { min-height: 1em; }
  .tw-skeleton.is-square { aspect-ratio: 1/1; margin-bottom: 7px; }
  .tw-skeleton.is-square + .tw-skeleton { margin-bottom: 10px; }
  .tw-skeleton__grid { display: grid; grid-template-columns: 1fr 3fr; gap: 20px; }
  .tw-skeleton__right { display: grid; grid-template-columns: 1fr 1fr 1fr; gap:10px; }
  .section-{{ section.id }} { padding: 20px 0; }
  .section-{{ section.id }} .twn-starter__pagination.is-top { display: none; }
{%- endstyle -%}

  <div class="section section-{{ section.id }}">
  <div id="tweakwise-navigation-output" class="page-width">
    <div class="tw-skeleton__container">
      <div class="tw-skeleton__grid">
        <div class="tw-skeleton__left">
          <div class="tw-skeleton"> </div>
          <div class="tw-skeleton"> </div>
          <div class="tw-skeleton"> </div>
        </div>
        <div class="tw-skeleton__right">
          {% for i in (1..9) %}
          <div>
            <div class="tw-skeleton is-square"> </div>
            <div class="tw-skeleton is-low"> </div>
          </div>
          {% endfor %}
        </div>
      </div>
    </div>
  </div>
</div>
        
<script>
window.addEventListener('twn.starter.ready', function () {
  const listerPage = tweakwiseListerPage({
    output: "#tweakwise-navigation-output",
    cid: "{{collection.id}}",
    lang: '{{ request.locale.iso_code }}',
    filters: {
      hideActiveCategoryFilter: true
    },
    ui: {
      closeSearchButton: false
    }
  });
});
</script>

{% schema %}
  {
    "name": "Tweakwise Product Grid",
    "settings": [ ],
    "presets": [{
      "name": "Tweakwise Product Grid",
      "category": "Tweakwise"
    }]
  }
{% endschema %}

Notes:

this code assumes the collections are synced with the collection.id as categoryid. If you choose a different id in the data sync (for example, with a language prefix), make sure you update this cid to use that format.
the template places a skeleton structure to fight CLS, you can update this by choice.
update the tweakwiseListerPage call to what you need, using the available Options.

Using the section

In your theme, go to the Collection template.

Disable/remove/hide the default Collection Product Grid.
Add the Tweakwise Product Grid: