To determine if you can use AirPlay and HomeKit with your Roku device, you need to know the software version and device model. To find this information, go to the home screen and select Settings > System > About.
The Roku devices listed below support streaming with AirPlay 2:
Axxxx, Cxxxx, CxxGB, 7xxxx
Roku Smart Soundbar
4800, 4670, 4661, 4662, 4660, 4640
4630, 4620, 3920
Roku Streaming Stick®+
To use AirPlay and HomeKit, your compatible Roku device must be running Roku OS 9.4 or higher. Your Roku device checks for an update every 24-36 hours or you can manually check for a software update if necessary.
StreamerUser Roku Community Streaming Expert
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Thanks for keeping in touch and for the note. I'd be happy to take a closer look to see how we can help.
A few questions here to better understand what you're experiencing: Have you check that your Apple device and Roku device are on the same wireless network. Could you also let us know the Roku OS version of your Roku device by going to the home screen and select Settings > System > About?