Janhvi - We don't have direct way to show dropdown list and search any content via only bot.
You can open task module from the posted adaptive card in bot. Once you open task module, you can show the custom React page with search functionality.
You can also, implement the bot-based search but in that case, you need to just post the content in Teams chat where bot is installed and then at backend side, you can receive the search string and based on your logic at backend, you can return the response.
Also, you can add typeahead search functionality in Adaptive Cards. This functionality provides an enhanced search experience on the Input.ChoiceSet
component, allowing users to enter text in the search field and filter out choices as they type.
Typeahead search in Adaptive Cards - Teams | Microsoft Learn
Thanks,
Prasad Das
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