The complete sentence is using the right verb tense is given as follows:
The history of Venetian Republic came to an end in 1797 when Venice was handed over to Austria by Napoleon.
The missing words help to show that the event indicated occurred in the past.
Hence it is correct to use the relevant verbs (came; was handed) in the past tense.
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Full question:
The history of Venetian Republic ............ to an end in 1797 when Venice
.......... over to Austria by Napoleon.