Messenger of Allah ﷺ used to offer the prayer of ʿId-ul-Adha and ʿId-ul-Fitr and then deliver the Khutba after the prayer.  

أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ يُصَلِّي فِي الأَضْحَى وَالْفِطْرِ ثُمَّ يَخْطُبُ بَعْدَ الصَّلاَةِ  

ʿAta' said, "Jabir bin ʿAbdullah said, 'The Prophet ﷺ went out on the Day of ʿId-ul-Fitr and offered the prayer before delivering the Khutba, Ata told me that during the early days of Ibn Az-Zubair, Ibn ʿAbbas had sent a message to him telling him that the Adhan for the ʿId Prayer was never pronounced (in the life time of Messenger of Allah ﷺ) and the Khutba used to be delivered after the prayer. Ata told me that Ibn ʿAbbas and Jabir bin ʿAbdullah, had said, "There was no Adhan for the prayer of ʿId-ul-Fitr and ʿId-ul-Aqha." ʿAta' said, "I heard Jabir bin ʿAbdullah saying, 'The Prophet ﷺ stood up and started with the prayer, and after it he delivered the Khutba. When the Prophet ﷺ of Allah ﷺ finished (the Khutba), he went to the women and preached to them, while he was leaning on Bilal's hand. Bilal was spreading his garment and the ladies were putting alms in it.' " I said to Ata, "Do you think it incumbent upon an Imam to go to the women and preach to them after finishing the prayer and Khutba?" ʿAta' said, "No doubt it is incumbent on Imams to do so, and why should they not do so?"  

سَمِعْتُهُ يَقُولُ إِنَّ النَّبِيَّ ﷺ خَرَجَ يَوْمَ الْفِطْرِ فَبَدَأَ بِالصَّلاَةِ قَبْلَ الْخُطْبَةِ قَالَ وَأَخْبَرَنِي عَطَاءٌ أَنَّ ابْنَ عَبَّاسٍ أَرْسَلَ إِلَى ابْنِ الزُّبَيْرِ فِي أَوَّلِ مَا بُويِعَ لَهُ إِنَّهُ لَمْ يَكُنْ يُؤَذَّنُ بِالصَّلاَةِ يَوْمَ الْفِطْرِ إِنَّمَا الْخُطْبَةُ بَعْدَ الصَّلاَةِ وَأَخْبَرَنِي عَطَاءٌ عَنِ ابْنِ عَبَّاسٍ وَعَنْ جَابِرِ بْنِ عَبْدِ اللَّهِ قَالاَ لَمْ يَكُنْ يُؤَذَّنُ يَوْمَ الْفِطْرِ وَلاَ يَوْمَ الأَضْحَى وَعَنْ جَابِرِ بْنِ عَبْدِ اللَّهِ قَالَ سَمِعْتُهُ يَقُولُ إِنَّ النَّبِيَّ ﷺ قَامَ فَبَدَأَ بِالصَّلاَةِ ثُمَّ خَطَبَ النَّاسَ بَعْدُ فَلَّمَا فَرَغَ نَبِيُّ اللَّهِ ﷺ نَزَلَ فَأَتَى النِّسَاءَ فَذَكَّرَهُنَّ وَهْوَ يَتَوَكَّأُ عَلَى يَدِ بِلاَلٍ وَبِلاَلٌ بَاسِطٌ ثَوْبَهُ يُلْقِي فِيهِ النِّسَاءُ صَدَقَةً قُلْتُ لِعَطَاءٍ أَتَرَى حَقًّا عَلَى الإِمَامِ الآنَ أَنْ يَأْتِيَ النِّسَاءَ فَيُذَكِّرَهُنَّ حِينَ يَفْرُغُ قَالَ إِنَّ ذَلِكَ لَحَقٌّ عَلَيْهِمْ وَمَا لَهُمْ أَنْ لاَ يَفْعَلُوا