living fossil:
(plural: ‘living fossils‘; pronunciation: the letter ‘i’ in both these words rhymes with the letter ‘i’ in “ink”)

a fossil of an animal that lived very long ago
a very old-fashioned person,

living fossils (living with old ideas and using old methods
Mac gets mad when his friends call him a living fossil because he has old-fashioned ideas.
The Democrats accuse the Republicans being living fossils and standing against progress with their very old ideologies that aren’t practical in this modern era.
To lift the image of the company and to make profit in proportion to the efforts made, the expert advised the chiefs, the company should get rid of the old fossils, those staff members that have been in the company for more than forty years, and their ancient methods of marketing.
