A trick to keeping cats out of neighbour garden?

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Neighbour dog (who I class as Natural Born Cat Killer, by breed & temperament, but I don't blame him for that) often attacks boundary fence in effort to get at our cats after they go in his garden. Cats are fast & so long gone by then, but NBCK doesn't give up easily. Thankfully neighbours own the fence.

Mr. Grumpy Neighbour has put up lots of chickenwire, but it's totally ineffective at keeping the cats out, although it does slow them down in escaping NBCK . Mrs. Neighbour agrees with me on both points.

I don't want to make the cats 100% indoors nor could I closely supervise their every visit outdoors; everywhere else they can explore around here is safe enough and no other neighbour seems to mind our cats yet.

Just wondered if there's anything, other than vast quantities of citrus oil/peel & Feliway, that would keep them out of NBCK's garden?

Could you let them out in the other side of the house? I take it that its the back garden not the front?

Phone your local zoo and ask them for lion / tiger poo, place in neighbour's garden.

Or buy neighbour his own cat.

Aack, could have sworn I replied to this already.

Can't see Neighbours entertaining Big Cat poo, or even water pistols (or citrus peels, even). I may ask anyway, but hold out no hope. Very easy to get from our front to back garden no point in only letting cats out one side. Plus cats can go around thru other gardens & end up entering Neighbour Garden from 2 other directions.