Ben: দক্ষিণ/উত্ত দিনাজপুর dakṣiṇa/uttara dinājapura
‘Dinaj’s City’ Districts, West Bengal
From Dinaj; Ben: dakṣiṇa, ‘south’; and uttarāśā, ‘north’.
Dinajpur District, at Independence, was split up into West Dinajpur district and East Dinajpur. East Dinajpur, following Partition, became Dinajpur and part of East Pakistan (now Bangladesh).
The West Dinajpur district increased in size over time and was finally split into Uttar Dinajpur (North) and Dakshin Dinajpur (South) in 1992.
The name is probably a personal one: Dinaj being the name of the founder rather than the popular derivation ‘City of the Poor’ [Ben: dīna, ‘poor’; and Skt: pura, ‘fort’, ‘city’].

Dakshin Dinajpur

Uttar Dinajpur