There are different standards of proof. To convict you of a criminal offence, it must be proved beyond reasonable doubt. Therefore because of the manouvre by the other driver, there may be reasonable doubt of your guilt and the judge found you not guitly.
A civil court will consider the balance of probabilities. Therefore if the other person is more at fault, but you contributed to the accident, any award for damages would be reduced by the amount that you are deemed to be at fault.
Defending a criminal case does not mean that you would win a civil case. It depends on the facts of the case.