I'd start by searching for availability on the final leg, i.e. XXX to LCA. Here
CheeseToastie's Star Alliance route finder is invaluable in telling us what to search for.
That shows LH flying to LCA from FRA and MUC. OS from VIE is another attractive/convenient option. There are also flights from Warsaw (with LOT) and Cairo (EgyptAir).
Look for availability on those routes, then search separately for flights from MAN to XXX and back. Ask again if you need more specific help and I'm sure someone will assist.
A further option that doesn't come up yet will be A3 (Aegean), who fly to LCA from Athens and Rome. I was very impressed by Aegean (in economy) last month, but the problem for you is that they only became Star Alliance members a couple of hours ago (literally) and it may be a while before you can see availability and redeem for flights with them. Try it!
Thank you will have another go!