There is no doubt that after the Fardh Salah the Messenger of Allah صلى الله عليه وسلم would indulge himself in zikr and dua. Some of the azkaar and ad’eyah were such that he would recite them every day, while there were others he would recite occasionally. He would, at times, recite them
in an audible manner so that the Ummah would be able to learn these beautiful and beneficial supplications.
Why would he not supplicate to Allah at this time, when it is Allah Ta’ala’s command to engross oneself in His remembrance and in supplication after the Fardh Salah. The Messenger صلى الله عليه وسلم has also encouraged his Ummah to busy themselves in zikr and dua after the Fardh Salah, as it is a time when supplications are readily accepted.
The whole Ummah agrees that reciting zikr and dua after every Fardh Salah is an established Sunnah of our beloved Messenger صلى الله عليه وسلم . They simply disagree on its method.
In your hands is a compendium of those azkaar and ad’eyah that the Messenger صلى الله عليه وسلم would recite after the Fardh Salah.
Download it and reap its barakaat. This is cropped to fit a mobile screen. Click on the pic below:

Or on this alternate link.