Lyrilusc monsters do what Lyrilusc do - Special Summon each other and themselves to go into your XYZ Lyriluscs, depending on what you need. Getting two Recital Starlings out will get you two more Lyrilusc, and when you finish with both of them, you can use them both to go into Utopic Future and Utopic Draco Future; Assembled Nightingale can deal damage and protect your other Lyrilusc from destruction/effects; Ensemblue Robin can floodgate a few Special Summons; Promenade Thrush can take care of Traps/Spells as well as provide a boost to Attack when you want to push for game. Tri-Brigade just helps cycle through your deck and can act as backup if your board gets wiped by using their ability to go into their Link monsters. If you want to win more, send one of your XYZs into Zeus during Main 2 to ensure your opponent's board gets wiped. Evil Thorn just gives you a free Rank 1 XYZ if its ability goes through in exchange for your Normal Summon, although possibly without the protection that using your Lyrilusc cards give.
For Side Deck, you've got your hand traps and back row removal tools, as well as Nibiru and Kaiju. High attack Kaiju has been used instead of Gameciel in order to cooperate with Recital Starling's crashing ability. The backrow removal is vital during Game 2 against decks that love backrow floodgating.
If you're going first, an optimal end board is Utopic Draco Future, Assembled Nightingale, and Ensemble Robin. Utopic Draco can block a monster effect and Robin floodgates a minimum of two Special Summons, while Nightingale will protect itself and Robin from destruction with one material used. If going second, depending on your opponent's board setup, you have the potential to OTK. Get Assembled Nightingale on the board with as many materials as possible, and either Recital Starlings if you can safely crash for game-ending damage, Utopic Future to steal a resistant boss monster, or Utopic Draco Future to block monster effect.