Hi Margriet,
I do not know if there is an out of the box APP that will do that but you could use the official Product Reviews all from Shopify for this https://apps.shopify.com/product-reviews.
The reviews app will generate the reviews based on the product.id:
<div id="shopify-product-reviews" data-id="{{product.id}}">{{ product.metafields.spr.reviews }}</div>On your homepage you could loop trough your products, get that id and reviews based on that product.
Just a thought, haven't actually done it before but might work.