If you use "load desktop version" or whatever it is called in your phone's internet browser, you can click the button and insert links directly from Instagram in your posts and they will display like the image I just posted above of yours. I don't use instagram, but I assume you'd have to load instagram.com in your phone's internet browser to get the links to copy and paste. All I did was click your image, copied the URL [instagram url="http://instagr.am/p/BvNfB9mHsWS/"] , clicked the button, clicked the Instagram logo, and pasted the URL.
Edit: When I inserted the URL just as a link, it ended up automatically embedding the post just like the one above, so maybe all you have to do is copy and paste the URL. You might not even have to click the URL LINK button. I'll try that below... I am literally just pasting the link to test and see if it is 100% automatic.