The Messenger of Allah ate meat from the shoulder of a sheep, then he rinsed his mouth and washed his hands, then he prayed.
أَنَّ رَسُولَ اللَّهِ ﷺ أَكَلَ كَتِفَ شَاةٍ فَمَضْمَضَ وَغَسَلَ يَدَيْهِ وَصَلَّى
Yahya related to me from Malik from Zayd Aslam from Ata ibn Yasar from Abdullah Abbas that the Messenger of Allah ﷺ ate a shoulder of lamb and then prayed without doing wudu.
أَنَّ رَسُولَ اللَّهِ ﷺ أَكَلَ كَتِفَ شَاةٍ ثُمَّ صَلَّى وَلَمْ يَتَوَضَّأْ
The Messenger of Allah ate meat from the shoulder of a sheep, then he rinsed his mouth and washed his hands, then he prayed. (Using translation from Ibn Mājah 493)
أَنَّ النَّبِيَّ ﷺ أَكَلَ كَتِفَ شَاةٍ فَمَضْمَضَوَغَسَلَ يَدَهُ وَصَلَّى