HI there Andrewkanivesst,
Thank you for using the Apple Support Communities! It sounds like you're experiencing an issue with Apple Music on your iOS device. We'd like to help however we can.
We want to make sure we're understanding your issues clearly. Are you missing songs in your Apple Music collection that you previously downloaded? If so, check out these articles: Turn on Sync Library with Apple Music and If songs are missing from your music library after you turn on Sync Library.
Are you experiencing an issue with songs not showing up in your library that you previously purchased from iTunes, or synced from a computer? Access your music library on all your devices, and Sync iTunes content on PC with your devices might help if so.
If the above information and articles do not clearly address your issue, please feel free to reply back to this post with more specific details. Also, explain more in detail about the search turning on after your action.
Thanks! Regards.