Full Sharh — Riyad as-Salihin 725
وعن فضالة بن عبيد رضي الله عنه قال: سمع رسول الله صلى الله عليه وسلم رجلا يدعو في صلاته لم يمجد الله تعالى، ولم يصلِ على النبي صلى الله عليه وسلم، فقال رسول الله صلى الله عليه وسلم "عجل هذا" ثم دعاه فقال له -أو لغيره: إذا صلى أحدكم فليبدأ بتحميد ربه سبحانه، والثناء عليه، ثم يصلي على النبي صلى الله عليه وسلم ثم يدعو بعد ما شاء" رواه أبو داود والترمذي وقال حديث صحيح.
English Translation
Fadalah bin 'Ubaid (May Allah be pleased with him) reported:: The Messenger of Allah (ﷺ) heard some one supplicating after his prayer without praising Allah and without supplicating Allah for the Prophet (ﷺ). With regard to him, the Messenger of Allah (ﷺ) said, "This man rushed." Then he called him and said, "When any one of you have performed Salat (prayer) and wants to supplicate, let him praise Allah first then glorify Him in the beginning and then he should supplicate Allah for me. Then he may supplicate for whatever he likes.".
Source
Riyad as-Salihin(رياض الصالحين)
The Book of Supplicating Allah to Exalt the Mention of Allah's Messenger
Hadith Number
725