The Roku can only stream from one channel app at a time, so switching from Roku channel A to Roku channel B should not leave Roku channel A streaming in the background.
What WILL stay active, however, is if you don't exit the channel before just shutting of the TV. Get in the habit of returning to the Roku home page anytime you've quite viewing.
As further protection, you can turn on the "Bandwidth saver" which kicks in when the Roku has received no user input in four hours. It asks if you are still watching, and if it receives no response, it exits the current stream and returns the Roku to its home page.
You can turn this feature on and off via Settings > Network > Bandwidth saver
Note that some individual channels may have a similar feature.
Roku Community Streaming Expert
I am not a Roku employee, only a user like you. Please, no support questions via private message -- post them publicly to the Community where others may benefit as well.
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Streaming Stick 4K+ 3821 | Streaming Stick+ 3810 | TCL Roku TV 43S245/C107X
