Between and during can be used when we describe something connected to some events.
Example
The Great Depression took place between The Great War and World War II.
During World War II Japan occupied China.
Between 1941 and 1945, the Ustasha regime of Croatia carried out government-led collaboration with the Nazis. This resulted in the murder of thousands of Jews, Serbs and Roma.
If you use between the two events must be mentioned in the sentence. That is the catch.
