How do I find posts?

I may be misinterpreting your question, it could use some more detail, but I think the old site must have had a plugin installed. Posts and their statuses are not displayed in any of the default WordPress dashboard widgets.

The only two plugins that I know that do something like that are Post Status Menu Items—by pure coincidence, I’m the author of that plugin—and EditFlow. I’ve included a screenshot of those two side-by-side, respectively.

Two WordPress Dashboard Widgets displaying post statuses.

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