Suggestion:
That probably killed the microcontroller, which is the computer in the car that controls everything from air to fuel mixture, to anti-lock brakes, or any other special features your car has. Your best thing to do would be take it to a mechanic who can test the computer, engine, alternator, and probably everything else under the hood. Most likely it will just be the computer got fried when you put the battery in wrong. Microcontrollers can be very picky to how the electricity is delivered and how much so it would make sense if it killed it. A new computer in your car may cost around 200-500 depending on how many features your car has, and how hard it is to replace.
Hope this helps, and be sure to double check in the future to prevent this from happening again.
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