This images says everything. So when a user search “How to solve ___ in this software” in google search , we get very structured results from Quora and stackoverflow.
Am not exactly sure how to get this but previously I have used Google Webmaster Structured Data
And when people search, i was able to get something like below . Do you guys know how? because currently my discourse site on webmaster shows " We do not detect any structured data on your site."
This only applies to Q&A software, outside of the solved plugin, that does not apply to Discourse.
That said as @david recently pointed out, we should try to make this true for topics where solved is indeed being used.
Thanks for clarifying!
Which means I would assume this is not possible now even with any changes. In future, it might be possible as you shared.
My two cents: Just give to your forum some space, and just focus on your content.
Stop thinking on SEO things, and Google results.
I admin a discourse forum about SAP (in Spanish) and like your first screenshot I have results on Google such this:
So… magic discourse 
Perfect! Definitely I would follow what you said.
I just want to make sure technically if we need to anything to achieve this. So the answer is no!
Magic discourse 
I believe that’s a generic thing that could show up on any website with a high number of “relevant” results.
Nothing at all.
Just keep Discourse update.
I don’t use any plugin (just Data Explorer for admin purposes).
لست متأكدًا من بدء موضوع جديد، ولكني أجد أن هذا الموضوع نسبي. فقط للعلم، من الممكن إجراء بحث المتصفح في منتدى مجتمعك. قد يكون هذا مفيدًا عندما يكون المنتدى قاعدة معرفة مجتمعية قوية.
على سبيل المثال، في Edge:
https://forum.example.com/search?q=%sبالنسبة للمواضيع التي تتطلب المصادقة، تحتاج إلى تسجيل الدخول في علامة تبويب متصفح أخرى.
