as salam alaikum
the Akhbari/Usuli discussion is mainly related to the realm of fiqh, specifically to the way of deduction of Islamic laws, although some implications may relate to other than jurisprudence. While Usuli scholars derive Islamic laws from Qur'an, Sunna, intellect and ijma', Akhbaris only accept Qur'an and Sunna as source for Islamic law. Some more radical Akhbaris rely only on the Sunna as per their saying that "the Qur'an should be interpreted exclusively through the Sunna of the Prophet and Ahl al-Bayt".
Practically, Akhbaris cannot overlook some sort of reasoning and Usulis do not discard the transmitted reports. Overall Usuli methodology is more strict on scrutinizing and authenticating the ahadith.
Some prominent Akhbari scholars were Mulla Amin Astarabadi, Mulla Muhammad Tahir Qummi and Seyyed Hashim al-Bahrani.
With prayers for your success.