The venerable Sayyid Abū-Muhammad Barkat-ʻAlī Shāh Azharī ʻUthmānī Naqshbandī Mujaddidī quddisa sirruhū was one of the prominent deputies of Khwāja Muhammad Sirāj ad-Dīn Naqshbandī (1297-1333 AH) of Mūsā Zaī Sharīf, Pakistan.
Biography of Sayyid Barkat Alī Shāh
He was born in Alāwalpur, district Jālandhar, Punjab, India. After completing his education, he started searching for a perfected Sufi master to start his spiritual journey. He met Mawlānā Ghulām Husain, a deputy of Khwāja Sirāj ad-Dīn, in Kānpur, and heard about the excellence and perfections of his shaykh. He traveled to Mūsā Zaī Sharīf, district Derā Ismāʻīl Khān (Pakistan) and took allegiance in the Naqshbandī Path with the shaykh.
However, it seems he was fist initiated in the Sufi Path by Khwāja Muhammad Uthmān Dāmānī, whose collected letters include two letters addressed to him. 
After completing his Sulook (spiritual journey), he was awarded deputyship by Khwāja Muhammad Sirāj ad-Dīn, who told him to return to India and propagate the Naqshbandī Mujaddidī Path in the people there. He returned and settled in Kolkata (West Bengal). He received seekers in large numbers and had to establish a khānqāh at college street. Later, he migrated to Maharashtra and established a new khānqāh in Malegaon, district Nashik. 
He spread the Sufi teachings and the Naqshbandī Path in Bengal, Bangladesh, Bihar, Assam and Maharashtra. 
Sayyid Barkat-ʿAlī passed away from the mortal world on 14th of Safar 1345 AH (August 1926). The written sources mention that he died in his khānqāh of Malegaon and was buried there [1,2]. However, a brother has provided more information in a comment below, according to which he is buried in Kolkata, in Raja Bazar close to Sealdah Station. His ʻUrs is commemorated there annually on 14 Safar.
He had four sons:
- Khwāja Abulaish Muhammad ʻAbdullāh Shāh (d.1964)
- Mawlānā ʻAbd as-Salām Shāh who migrated to Bangladesh
- Khwāja ʻAbd ar-Rahmān Shāh
- Khwāja Bābū Barkat Shāh
His famous deputies are the following: 
- Khwāja Abū-Layth Muhammad ʻAbdullāh Shāh (d.1964)
- Sayyid Muhammad Abd ad-Dayyān of Kolkata
- Mawlānā Sayyid Muftī ʿAmīm al-Ihsān Barkatī Mujaddidī of Bangladesh (nephew of Sayyid Abd ad-Dayyān)
- Mawlānā Abd as-Salām
- Mawlānā Sayyid Salmān of Kolkata
His son Sayyid Abd as-Salām Ahmad Shāh (d. 1386 AH) was a deputy of Mawlānā Ahmad Khān Naqshbandī Mujaddidī (d.1360 AH), another deputy of Khwāja Sirāj ad-Dīn. 
Khwāja ʻAbdullāh Shāh
Khwāja Sayyid Abū-Layth Muhammad ʻAbdullāh Shāh Naqshbandī Mujaddidī was the eldest son and successor of Sayyid Barkat-ʻAlī Shāh. He died in 1964 and is buried beside the noble grave of his father under the same mausoleum.
He appointed some of his pupils as deputies, including the following:
- Khwāja Pīr Muhammad Shāh (Ballia District, UP, India)
- Khwāja Tajammul-Husain Shāh (Singahi, Siwan District, Bihar, India). His grandson is his successor.
- Khwāja Abul-ʻĀbidīn Shāh (village Akhainiyam, Siwan District, Bihar, India): He is still live and is almost 100 years old (in February 2016).
 Biographical Encyclopaedia of Sufis (South Asia). By N. Hanif. Sarup & Sons, New Delhi, 2000.
 Mawāhib-i Rahmāniya (Urdu), volume 3. By Khwāja Muhammad Ismāīl Sirāji. 1989.
 Tārīkh wa Tazkirah Khānqāh Sirājiyyah Naqshbandiyyah Mujaddidiyyah (Urdu). By Muhammad Nazīr Rānjhā. Second edition, July 2010.
 Tuhfa Zāhidiya. Urdu translation of Maktūbāt of Khwāja Uthmān Dāmānī and Khwāja Sirājuddin. Zawwār Academy Publications. Second edition, January 2000.