That guide is nice for 25 mans, but in 10 man, you really have to use your Warlock to dedicate them to one orb. You can't spam Seed of Corruption during the orb phase, so it severely limits your ability to do massive numbers here.
Lilith, I see a 55% uptime with Unstable Affliction, 65% for Corruption, and 81% for Agony. I also notice from the vast number of misses you have that you are not hit capping. While that is your choice, I wonder if perhaps you didn't notice when UA or Corruption missed to lead to such low uptime on your DoTs. Remember, not having all 3 DoTs up while using Malefic Grasp is a huge DPS loss.
You also only used Haunt 15 times in 9 minutes and 16 seconds of combat. You had 28 Shadow Trances so you should have casted Haunt at least 30 times and this is without the Soul Shard regeneration component of Drain Soul.
You used Dark Soul 4 times for a total uptime of 78.5 seconds. I'm guessing you used it before combat even started, so you lost 1.5 seconds of your total time. This is a DPS loss. Your opening rotation should be Curse of Elements, THEN Dark Soul, not reversed. Dark Soul has a 2 minute CD and should be used on the pull. Therefore, with a 9 minute fight, you should have used Dark Soul 5 times, not 4.
Seeing your total damage done to the Celestial Sparks, you did a measly 1,050,500. This is rather poor with all the utility you have to DPS the adds. Use Seed of Corruption on as many as you can while they are coming to the middle. They will not detonate due to the new mechanic with SoC. When the middle platform reappears, do your single target rotation to one of them to induce the explosions of all the seeds you set up. This will tremendously shorten that phase.
As for survival CDs, Shadow Bulwark has a 2 minute CD and you used it one time. You used Dark Regeneration once and it has a 2 minute cooldown. Use this more liberally when needed. Perhaps your healers are that awesome...I don't know.
Lots of opportunities for growth on this fight. Keep at it.