How to place community spaces in other worlds?

I placed one in another world and built it from scratch. I spent a lot of time building and decorating the derelict lot and then changed to marketspace. I thought everything (building and decorations) will carry over but only the building did. When I was done decorating the market space I saved the lot to library, not sure if it saves just the one lot or all of them combined. Afterwards I placed the saved lot from the library in the community garden and maker space, so now all three are the same.