If you were made redundant because you were told that your job was no longer needed but you get subsequent clear evidence that this was not the case, then you can claim unfair dismissal.
Even if the job advertised is not the same as the one you did, but sufficiently close that you might well be able to do it you could well have a case.
This is because your employer should have actively investigated the possibility of suitable alternative employment for you when you were faced with redundancy. It will look to a Tribunal as if this may not have been properly explored.
But it may be that circumstances have changed since you left. Your former employer could argue that there was no prospect of a suitable alternative when you were declared redundant.
Remember that you can only make a claim within 3 months of your date of termination of employment with your employer.