Were you on any sort of term type contract? If you can sell it that your contract is coming to an end rather than being chosen for redundancy, it looks better. Otherwise, you could always explain why you are one of those being made redundant - such as 'no longer doing the work I am employed to do' or 'top of the tree - so they need to cut costs at the top', or something similar.
When I was interviewed for my current job (albeit 23 years ago now) I had just finished work at a different council. My fixed-term contract was not being renewed, and the council were, at that time, officially stating that it was because of cuts that they couldn't renew it (and stated that in my reference). Although privately, they were also stating I was being fired for gross misconduct - despite them losing an appeal against that reason.
Obviously I stressed their 'official' reason rather than that we had fallen out.
When I was interviewed for my current job (albeit 23 years ago now) I had just finished work at a different council. My fixed-term contract was not being renewed, and the council were, at that time, officially stating that it was because of cuts that they couldn't renew it (and stated that in my reference). Although privately, they were also stating I was being fired for gross misconduct - despite them losing an appeal against that reason.
Obviously I stressed their 'official' reason rather than that we had fallen out.