Let us assume that the forms are on a single page where the results will show in a single block (for example, a Posts element). At the moment, we do not recommend more than a single form to link to that. Any more than that and they are likely to conflict, or simply not work.

We have received feature requests to allow the one form to be broken into parts to be placed (and styled) in different places (and differently styled) on the page.

We have taken those requests on board for our forthcoming V3 (which we hope to release in June). For example, you might have a form in WooCommerce that has a Search Box (text field), a Sort Order drop down, and then other fields (Product Categories, Product Tags, Variations, etc). You will be able to place the Search Box in the header, and the Sort Order above the products, and the rest of the form in the sidebar.

But, that is not possible right now.

Again, something that will, we hope, come in V3, but for now you can do it with custom javascript. I do not have any snippets to share with you though, sorry.