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:31Yaḥyá b. Mūsá > ʿAbd al-Razzāq > Isrāʾīl > ʿĀmir b. Shaqīq > Abū Wāʾil > ʿUthmān b. ʿAffān

the Prophet would go through his beard."  

Abū ʿĪsá said that this Ḥadīth is Ḥasan-Ṣaḥīḥ.
الترمذي:٣١حَدَّثَنَا يَحْيَى بْنُ مُوسَى حَدَّثَنَا عَبْدُ الرَّزَّاقِ عَنْ إِسْرَائِيلَ عَنْ عَامِرِ بْنِ شَقِيقٍ عَنْ أَبِي وَائِلٍ عَنْ عُثْمَانَ بْنِ عَفَّانَ

أَنَّ النَّبِيَّ ﷺ كَانَ يُخَلِّلُ لِحْيَتَهُ  

قَالَ أَبُو عِيسَى هَذَا حَدِيثٌ حَسَنٌ صَحِيحٌ

See similar narrations below:

Collected by Ibn Mājah, Aḥmad, Ṭabarānī, Suyūṭī
ibnmajah:430Muḥammad b. Abū Khālid al-Qazwīnī > ʿAbd al-Razzāq > Isrāʾīl > ʿĀmir b. Shaqīq al-Asadī > Abū Wāʾil > ʿUthmān

The Messenger of Allah performed ablution and ran his fingers through his beard.  

ابن ماجة:٤٣٠حَدَّثَنَا مُحَمَّدُ بْنُ أَبِي خَالِدٍ الْقَزْوِينِيُّ حَدَّثَنَا عَبْدُ الرَّزَّاقِ عَنْ إِسْرَائِيلَ عَنْ عَامِرِ بْنِ شَقِيقٍ الأَسَدِيِّ عَنْ أَبِي وَائِلٍ عَنْ عُثْمَانَ

أَنَّ رَسُولَ اللَّهِ ﷺ تَوَضَّأَ فَخَلَّلَ لِحْيَتَهُ  

ahmad:25970Zayd b. al-Ḥubāb > ʿUmar b. Abū Wahbal-Naṣrī > Mūsá > Ṭalḥah b. ʿUbaydullāh b. Kurayz al-Khuzāʿī > ʿĀʾishah

[Machine] That the Messenger of Allah ﷺ used to wet his beard with water when performing ablution.  

أحمد:٢٥٩٧٠حَدَّثَنَا زَيْدُ بْنُ الْحُبَابِ قَالَ أَخْبَرَنِي عُمَرُ بْنُ أَبِي وَهْبٍ النَّصْرِيُّ قَالَ حَدَّثَنِي مُوسَى عَنْ طَلْحَةَ بْنِ عُبَيْدِ اللهِ بْنِ كُرَيْزٍ الْخُزَاعِيُّ عَنْ عَائِشَةَ

أَنَّ رَسُولَ اللهِ ﷺ كَانَ إِذَا تَوَضَّأَ خَلَّلَ لِحْيَتَهُ بِالْمَاءِ  

tabarani:20061ʿAbdullāh b. Aḥmad b. Ḥanbal > Abū al-Rabīʿ al-Zahrānī > Abū Muʿāwiyah > Khālid b. Ilyās > ʿAbdullāh b. Rāfiʿ > Um Salamah

[Machine] The Prophet ﷺ used to "comb his beard when he performed ablution."  

الطبراني:٢٠٠٦١حَدَّثَنَا عَبْدُ اللهِ بْنُ أَحْمَدَ بْنِ حَنْبَلٍ ثنا أَبُو الرَّبِيعِ الزَّهْرَانِيُّ ثنا أَبُو مُعَاوِيَةَ عَنْ خَالِدِ بْنِ إِلْيَاسَ عَنْ عَبْدِ اللهِ بْنِ رَافِعٍ عَنْ أُمِّ سَلَمَةَ

أَنَّ النَّبِيَّ ﷺ كَانَ «إِذَا تَوَضَّأَ خَلَّلَ لِحْيَتَهُ»