All the animals living in a particular period of history' is called -

• Fauna (noun):
English Meaning: All the animals living in an area or in a particular period of history.
Bangla Meaning: (Plural faunas) কোনো জায়গায় কোনো বিশেষ সময়ের প্রাণিকুল।
Example sentence: A freshwater biome is a large community of flora and fauna that live in water.

• অন্য অপশনগুলোর মধ্যে - 
• Menagerie (noun)
English Meaning: A collection of wild animals kept in cages, etc. for people to see
Bangla Meaning: প্রদর্শনার্থ বন্দি বন্যপ্রাণীর সংগ্রহ।
Example sentence: The children were fascinated by the menagerie of exotic animals at the zoo.

• Bestiary (noun)
English Meaning: A collection of descriptions of, or stories about, various types of animal, especially one written in the Middle Ages
Bangla Meaning: বিভিন্ন জীবজন্তু সম্পর্কে মধ্যযুগীয় নীতিগল্পের সংকলন।

• Lexicon (noun)
English Meaning: All the words and phrases used in a particular language or subject; all the words and phrases used and known by a particular person or group of people
Bangla Meaning: শব্দকোষ, শব্দার্থপুস্তক বা অভিধান।
Example sentence: The professor's lexicon of archaic English words is an invaluable resource for historical linguists.

Source:
1. Accessible Dictionary by Bangla Academy.
2. Oxford Learner's Dictionary.
3. Cambridge Dictionary.