My 96 honda civic was in an accident and the front is mashed in.The engine still is in good condition only thing the engine mounts are broken.Why don't my car start.

Perform tests, in Honda Sections 1 and 2, below:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563.html