In our case, the login problem arises only with ArcGIS Enterprise 10.9.1 when using Android OS and the Field Maps app version 25.2.0 or higher (including 25.2.3). I also tested it against ArcGIS Enterprise 11.2, and the login problem did not occur.
When we use Field Maps version 25.1.0, everything works fine!
BUG-000179817 seems to be still reproduced in Field Maps 25.2.3 on Android.
I just tested with a Map Image Layer containing a group layer with two layers, configured the search by layer on one layer. Works fine in the webmap, no result in Field Maps.
@MiaogengZhang that url you provided 404's. I have users experiencing similar issues through our MDM provider, but are able to successfully access field maps on their personal devices. I have a support case open.
I am the Group Product Engineering Lead for our Field Apps team at Esri. I work with an amazing team building out our field solutions.
Please feel free to ask me anything about ArcGIS Field Maps, Workforce, and Navigator.