Durood Shareef after Salaah

After fard prayer, do you have to send salutation on Muhammad (Sallallahu Alayhi Wasallam) by reading the durood shareef? Every masjid do that but when I am doing research, in no place it is mentioned that after fard prayer, you have to send blessings on Muhammad (Sallallahu Alayhi Wasallam) (i.e Allahumma swaliraswayyidinamuhammadinwwaralaalimuhammadinwwabaarikwasallim)? Or is it that they do this because they make the congregational dua after that because durood should be recited before making dua? According to my knowledge, after fard prayer, you have to read ayat ul kursi, tasbeen e fatihi and make your own dua and some but this recitation of durood is confusing.