Please refer to the documentation: https://www.mediawiki.org/wiki/Phabricator/Help#Selecting_Dates_and_Date_Ranges

I see the documentation, but it doesn't match the interface. I do not see a Date field as mentioned in the documentation. What else am I missing?

It looks like
phabricator-main-menu-search has a context bug (it doesn't correlate to the Manifest - Advanced Search) and instead only does Global Search always from this menu?

To help the team, I've mocked up perhaps a better menu representation that would always display a Global Advanced Search underneath the context of Current Application - Advanced Search? (Diffusion, Manifest, etc. as Current Application context, but always also displaying the Global Advanced Search)

(Removing unrelated project tags; see their descriptions)

Yes, that is the steps to reproduce. The general UX is that there's a context shift that the user didn't ask for yet and the users are not given any clue about it happening. It's a bad user experience and something that all the users in T10640 are experiencing and asking for the same thing. The flow of how to get to an Advanced Search for/from Manifests specifically is the core of the problem. Using the search field in the upper right corner is quite expected, and then users see the dropdown with the Advanced Search option...ultimately clicking it and leading down into the wrong hole.

(I was a previous UX designer in a past life)
The above proposal is 1 way to solve it, but also just giving Users a clear view of the various "Advanced Search" panels available (there's not just 1 Advanced Search panel as you well know) each slightly different for the different modes (types of documents) of Phabricator is what is missing.

Looking at this page https://secure.phabricator.com/search/query/advanced/ , a user doesn't know the context...that of a Global Search.
A relabeling to "Global Advanced Search" on that page would help.
While also on that page, showing the other pages that do offer an Advanced Search, such as Manifests, etc. could be displayed as links, or simply be buttons just along the top edge, or shown on the left panel under SEARCH. Either areas have lots of empty space available to utilize.

Additionally, the Open Tasks page https://secure.phabricator.com/search/query/open-tasks/ has 0 zero way to navigate to an Advanced Search... (completely non-nonsensical and a feature someone probably missed)
Clicking Edit Query button only shows the basic search fields, but no where does it have a button or link to change this to an Advanced Search.
That should not be offered by a toggle next to the blue Search button that toggles between "Basic/Advanced" and updates the form accordingly, since the context (Manifest, Document, etc.) isn't shown.
Since Phabricator clearly uses "contexts" through use of types such as Document, Tasks, then keeping the context(type) always shown to users when a Search Panel is displayed would help greatly, as well as giving them a new easy option to click and open the Advanced Search panel for that context(type).

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