Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
tirmidhi:1760ʿAlī b. Ḥujr > ʿAlī b. Mushir > Abū Isḥāq al-Shaybānī > Ashʿath b. Abū al-Shaʿthāʾ > Muʿāwiyah b. Sūwayd b. Muqarrin > al-Barāʾ b. ʿĀzib

"The Messenger of Allah ﷺ prohibited riding (while sitting on) Miyathir."  

[Abu 'Eisa said:] There are narrations on this topic from 'Ali and Mu'awiyah. The Hadith if Al-Bara' is Hasan Sahih. Shu'bah reported similarly from Ash'ath bin Abi Ash-Sha'tha' in the lengthy Hadith.
الترمذي:١٧٦٠حَدَّثَنَا عَلِيُّ بْنُ حُجْرٍ أَخْبَرَنَا عَلِيُّ بْنُ مُسْهِرٍ حَدَّثَنَا أَبُو إِسْحَاقَ الشَّيْبَانِيُّ عَنْ أَشْعَثَ بْنِ أَبِي الشَّعْثَاءِ عَنْ مُعَاوِيَةَ بْنِ سُوَيْدِ بْنِ مُقَرِّنٍ عَنِ الْبَرَاءِ بْنِ عَازِبٍ قَالَ

نَهَانَا رَسُولُ اللَّهِ ﷺ عَنْ رُكُوبِ الْمَيَاثِرِ قَالَ وَفِي الْحَدِيثِ قِصَّةٌ قَالَ وَفِي الْبَابِ عَنْ عَلِيٍّ وَمُعَاوِيَةَ وَحَدِيثُ الْبَرَاءِ حَدِيثٌ حَسَنٌ صَحِيحٌ وَقَدْ رَوَى شُعْبَةُ عَنْ أَشْعَثَ بْنِ أَبِي الشَّعْثَاءِ نَحْوَهُ وَفِي الْحَدِيثِ قِصَّةٌ