Re: "How do I request a refund for a cancelled Loora subscription through Apple?"
We are all Apple users, just as you are, in the community, so no-one here has access to your accounts or details. Also: Apple is unlikely to see your question.
Am not familiar with Loora.
If the purchase amount is not in your purchase history, your subscription may have been with a developer outside of Apple's own ecosystem of products. Any refund would have to come from those who received your payment.
More info: About purchases not billed through the App Store or Apple In-App Purchase - Apple Support
Eg: says:
"If you paid for an app, a purchase within an app, or a subscription outside of Apple’s ecosystem, contact the developer for billing support or a refund. Apple is unable to provide support for these purchases."
You can contact those who charged you by the vendor's invoice details:
or
Apple support's article (link below) may be helpful:
How to contact an app developer - Apple Support
or
Contact a third-party vendor:
The best source of help for a product not made by Apple (a third-party product) is the company or person who made it—its vendor or developer:
Contact a third-party vendor - Apple Support
Billing and Subscriptions support website for Apple media products:
Subscriptions and Billing - Official Apple Support