The Faraji Movement was established in 1818 AD after Haji 'Shariatullah, under the leadership of his sons' Dadumi. Hence, the correct option is (A).

Introduction:
The Faraizis were followers of Haji Shariatullah, a prominent Muslim leader and reformer in 19th-century Bengal. Haji Shariatullah played a crucial role in initiating social and religious reforms among the Muslims of Bengal.

Haji Shariatullah and his teachings:
- Haji Shariatullah was born in 1781 in the Faridpur district of Bengal. He belonged to a family of religious scholars and grew up with a strong Islamic education.
- Haji Shariatullah was deeply influenced by the Wahhabi movement, which sought to purify Islam from what they perceived as deviations and innovations.
- He advocated for a return to the original teachings of Islam as outlined in the Quran and the Hadith (the sayings and actions of the Prophet Muhammad).
- Haji Shariatullah emphasized the importance of Tawhid (monotheism), the rejection of polytheism and idol worship, and the need for Muslims to lead a pious and righteous life.
- He also criticized the practices of the traditional Muslim clergy and called for a more egalitarian society based on Islamic principles.

The Faraizi Movement:
- Haji Shariatullah's teachings gave birth to the Faraizi movement, which aimed to bring about social, religious, and economic reforms among the Muslims of Bengal.
- The term "Faraizi" is derived from the Arabic word "farz" meaning "obligation" or "duty." The Faraizis were those who followed and practiced the obligations outlined by Haji Shariatullah.
- The Faraizi movement gained popularity among the rural Muslim population of Bengal, particularly in the districts of Faridpur, Barisal, and Dhaka.
- The movement emphasized the importance of five fundamental obligations, known as the "Five Faraiz":
1. Regular prayers (Salat)
2. Fasting during Ramadan (Sawm)
3. Giving charity (Zakat)
4. Performing the pilgrimage to Mecca (Hajj)
5. Striving for the spread and establishment of Islam (Jihad)

Impact and Legacy:
- The Faraizi movement played a significant role in awakening the religious consciousness among the rural Muslim population of Bengal.
- It provided a platform for the Muslims to unite and work towards social and religious reforms.
- The movement also challenged the authority of the traditional Muslim clergy and sought to empower the common Muslims.
- Haji Shariatullah's teachings and the Faraizi movement laid the foundation for future Islamic reform movements in Bengal, such as the Aligarh Movement and the Faraizi Revolt.
- The Faraizi movement contributed to the development of a distinct Muslim identity and consciousness in Bengal, which had a lasting impact on the region's social and political landscape.

Conclusion:
The Faraizis were the followers of Haji Shariatullah and the proponents of the Faraizi movement in 19th-century Bengal. Through their emphasis on the five fundamental obligations and their call for social and religious reforms, the Faraizis played a crucial role in shaping the Muslim identity and consciousness in the region.