The technical name is "Edge connector" and most schematic software should have an option for it. Usually though, it'll just be a rectangle that lets you label the pins.
You're probably not finding existing schematics because most cartridges aren't going to be complicated enough for people to need them for doing repairs and stuff.
Common rom and ram chips should be in most software but mapper and bank switching chips might be custom. But there should be an option to create the custom chips.
You might also try proto and repro building sites.
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