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LingakuLingaku[verb て-form] + ください
～てください is a polite request: "please do…". ください goes straight after the て-form of the verb.
ください does not attach to the ます-form. ×待ちますください and ×待ちてください are both wrong. まちます待ちます has the て-form まって待って, so the request is まってください待ってください.
A noun with を and ください asks for the thing. A て-form and ください asks for the action.
It is polite, and it still tells somebody what to do. That suits a shop assistant, a stranger, a teacher speaking to a class, and written instructions. Opening with すみません softens it.
These go beyond the plain request.
To ask a favour of someone above you, the softer form is ～てくださいませんか.
With どうぞ in front, the same pattern offers something to the listener.
The negative request is a separate pattern, the ない form with でください.
Between friends and family ください is dropped, and the て-form alone is the request. ね on the end softens either version.