What is the order of the other Imams after the Two Sahihs, such as Abu Dawud, Al-Nasa'i, Al-Darimi, Al-Daraqutni, Ibn Majah, Al-Tirmidhi, Ibn Hibban, and Ibn Khuzaymah, and is it permissible to follow their rulings on hadith?

The order of the books of Sunnah in terms of authenticity is that Sahih al-Bukhari holds the first rank, followed by Sahih Muslim, then Sahih Ibn Khuzaymah, then Sahih Ibn Hibban, then Mustadrak al-Hakim. As for the books of Sunan, their order is as follows: Sunan Abi Dawud, then Sunan al-Tirmidhi, then Sunan al-Kubra by al-Nasa'i, then Sunan Ibn Majah. One may emulate the Huffaz (memorizers of Hadith) and researchers in judging the authenticity of Hadith.