This module can help you to embed your existing module in accordion slider or popup/modal box and show it as hidden by default. Then, when you click on the button, it will be shown.
In the parameters, you can select the module for embed, enter expand button text and some extra code, also select expand type - slider or popup.
Please, see this page for the demo - https://joomcar.net/joomla-expandable-module-demo (see "Filter here" buttons at the top and right sidebar).