Audio Kit MK136

Hello everyone,

I bought a Velleman MK136 kit (audio kit with 2 microphones to amplify the sound).
On the kit there is a jack output to allow to connect audio headphones.

Can you tell me if a technical solution exists to turn this audio signal into bluethoot, and like thate use wireless headphones on the MK136 kit ?
I tried to plug on the jack of the MK 136 a small module bluethoot bought on the internet but it does not work

Thank you very much for your support.