Now here me out here. I don't mean luck as in finding things, though that could be cool. It is a bit over-rated. I mean controlling luck of those around them.
Like say giving the enemies bad luck causing them to trip over themselves or something that causes them to stun themselves. Let's say that bad luck could even cause them to do minor damage to themselves, maybe even cause the enemy heal to heal your ally instead for a smaller amount.
Now the good luck for the allies. Good luck can increase accuracy, damage, and healing. Maybe you had a run of bad luck and got hit by that CC, well here's the good luck that can have a chance to nullify that bad luck for you on a bit of a cooldown.
So now that we have seen the basic ideas of how the abilities could benefit the battlefield, some self used cooldowns could be increasing that luck output by more for a short time on a long cooldown, or even used as an ultimate if that becomes a thing. Another good idea for a self cooldown would be to take on your teams bad luck for yourself for a short time which could be used in a dire need situation giving your team 4-5 seconds of no CC hitting them at all. Also as a passive if you use ranged weapons your accuracy is increased by 15%.
The conclusion to this Titan idea is to bring some fun support play to the field. It is also an idea I've never seen used before in a video game. And only one hero I know of (Domino) that uses this ability. I feel this could be fun to add into the game but also challenging to have work properly without being to powerful or weak.