Ok, I know I'm late to the party but finally managed to get Lucy. The only thing that remains is awakening him to the last tier - and here's a problem - after running over 300 fights with Cosmic LoL I only got 1 LoL Awakening Shard drop. Is this normal? Any ideas how to get them in any other way? I also tried opening a bunch of awakening souls but no luck there as well - got some nice 5* materials but no LoL shards. At this rate, I'll probably have to run it a thousand times more to collect the 2 remainings boxes.

Anyway - thanks to everyone in this thread for tips.
The final team I used was:
Max Cyborg - Serenity, Grail, Cosmic T3 Cyborg
Max Warrior LoL - Ragnarok, Cosmic
Max Lilith Nightmoon - Yin/Yang
Max Cosmic LoL - Forge, Cosmic

I still don't have Orbits and managed to do it without them. Average time was around 1 minute, best was 0:46.