FlyBE and Adria both interline? Meaning their non-refundable fares can be combined on the same ticket, provided the minimum connecting time at MAN is met. Your bags would be checked through and I'm guessing that 1h20 would suffice, but perhaps another with access to MCT data could comment.
To have a single ticket issued for multiple airline you need to talk to a travel agent, or the first airline. You can't book this on-line.
Good luck