Hey there Albert,
I know exactly what you're asking for, I was after the same thing, and at first looked for (and found) something that would load a component inside a module that could give you the search form inside a module, but because of the way it worked (loading inside an iFrame) it was hardly ideal and made a mess of the site template when showing the search results page.
After some perseverance and a little luck though, I finally found what I was after. It's called
Plugin In Module, and basically allows you to call any plugin which would normally only work in content pages and use them in a module instead. You'll find the latest version and instructions on this page:
extensions.joomla.org/extensions/6713/details
The instructions for usage are outlined in the link, but to illustrate an example for a VMPRODUCTFINDER form (and let's say that the ID of your form is 1) the module settings would go like this:
Type of plugin:
{plugin}CODE{/plugin}
Plugin to execute:
redvmproductfinder
Are there any additional parameters? No
Command to insert:
1
Then feel free to add the module suffix as well as any HTML code to appear above and below the plugin if you so need it.
I will mention, however, that you might have to modify the template that the plugin uses to output the form with the select drop downs and check boxes, because when I tried this out the first time, it would not show the parameter titles associated with each type you could select, so I only saw a bunch of selects and check boxes. But if you know your way around, you can easily rectify that. :)
(You can find this template in your Joomla installation, in the plugins/content folder, called
redvmproductfinder.php.)
I'm surprised that redVMPRODUCTFINDER doesn't yet offer a module for this, but at least we have the plugin to work with! :D I hope this will help you achieve what you're asking for...