Hi kfosull,
Thanks for reaching out to Apple Support Communities. It sounds like you're having an issue with a third-party app showing Low Power Mode is enabled. We're happy to assist.
We recommend ensuring there are no battery alerts or issues present when checking Settings > Battery > Battery Health. If needed, the article here also has the steps to help you check: About the battery usage on your iPhone, iPad, and iPod touch
We'd also recommend force closing the app: Close an app on your iPhone or iPod touch and completing a normal restart of your iPhone: Restart your iPhone
If the issue continues, check for updates to the app as you mentioned your iOS software was up to date: How to manually update apps on your Apple device
You can also contact the app developer if the issue remains: How to contact an app developer
Cheers!