WooCommerce Simple Auctions supports Elementor fully from version v2.0. You can create single auction page and auction base page with Elementor using Elementor widgets that are specific for auctions.
Screenshots below show Elementor widgets you can use for designing your templates.
Easiest way to create your single auction page with Elementor is to create new template for single product. There you can now add, rearrange and style Simple Auction elements like countdown, auction history, auction dates, auction max bid (for proxy), auction reserve price, sealed bid auction elements and auction bid form.
Auction product type will be recognized automatically and there is no need to add conditional for template. To create auction base page you will need to create new template type “Auctions Archive”:
Once template is designed you need to add condition as per screenshot below:
In Elementor Settings -> Experiments make sure that beta option “Landing Pages” is set to “inactive” otherwise you will have issues with lottery base page. See screenshot below: