As per the below limitation.
The HCL Notes Client allows a single mail document to be in multiple folders or views, but the mail application on the device only allows a single mail document in a single folder. Therefore, the device will only show the mail document in the most recent folder. If you are using the HCL Notes Client Send and File feature or a rule with a Copy to Folder action, the mail message will only appear in one folder on the device even though it may appear in multiple folders/views in the HCL Notes client. Sent and Drafts are special in that they are always the most recent if the document appears in either one of them.
https://help.hcl-software.com/traveler/14.0.0/GeneralLimitations.html
Within active sync connected devices mail clients, emails added from the view $send to a folder are not displayed on the device in that folder. This is an issue with all sent emails.
By this on an active sync connect client there is no information about related sent emails.
They are lost as information in the related context. Please allow this email to move and visibility as it is displayed in HCL Notes.