Greetings, if I create a synchronization task and specify how long it takes to collect letters from the mail, then all letters will be collected, I try to transfer them from the Yandex service, what is the problem, tell me?

your english is hard to understand. There is no “how long it takes” that you can specify.
Please use deepl.com for Translation.
Otherwise have you checked this here for IMAP configuration?
yandex.com Icon Other mail clients - Mail. Support

yandex.com Icon yandex.com
Other mail clients - Mail. Support
When using the IMAP protocol, the email client syncs with the server and saves the structure of folders in your mailbox. Messages that you send from your email client will be saved both on your computer and on the server, and you can access them from various devices.

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This parameter does not work correctly:
“Sync job > Edit > Maximum age of messages in days that will be polled from remote”

At least on the Yandex server imap is configured correctly and mailcow is filled, but without this option…

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