Is it true that there is no evidence that Imam al-Barbahari wrote the book "Sharh al-Sunnah"?

The book "Sharh al-Sunnah" is by Al-Barbahaaree, who is Abu Muhammad Al-Hasan ibn 'Ali ibn Khalaf, the shaykh of the Hanbalis in Iraq in his era. The book has been attributed to him by a large number of scholars who quoted from it, among them Ibn Abi Ya'la in "Tabaqat al-Hanabilah," Shaykh al-Islam Ibn Taymiyyah, Al-Dhahabi, Ibn al-'Imad al-Hanbali, Ibn Rajab al-Hanbali, Ibn Hajar al-'Asqalani, and others. The book's attribution to Al-Barbahaaree is authentic, and those who have doubted it have not provided conclusive evidence to invalidate this attribution.