By default, the Dread Lords (and thus the Ori in the mod) have all techs researched at start. That includes any techs modded into the game. I know this because I added some techs of my own to spice up the game (just techs that give minor boosts to your empire in various areas), and when I ran into the Dread Lords again I ended up stealing one of those custom techs from them in an invasion
That means they'll have BOATLOADS (or should I say toilet loads

) of tech, including all the influence and soldiering techs. They don't need any special technology to boost their abilities.
But if, during team discussions, it is decided it would be better for the Ori to have some special techs, then they will be granted such.
- theStormWeaver
Still, themed Influence abilities and Invasion Tactics would be more in flavor of the Ori than Mini Soldiers, Tidal Disruption and Trade Techs would be.
Here's a few suggestions:
Prior Evangelization - Espionage Ability. Target Planet must have Gate Nexus in order to be able to use this. Gradual increase of Ori influence over a period of weeks.
Prior Plague - Invasion Tactic. Reduces Defender Advantage and a percentage of Defender numbers. Tradeoff is a severe decimation of local planetary population as well as a randomized number of casualties on the Invader's side before the fight. (If this were an Espionage Ability, it would be akin to a localized Galactic Plague ME focused on the target planet only.)
Prior Bug - Espionage Ability. Gradually downgrades then destroys Farms on target enemy planet. If target planet has no Farms, begins to destroy the planet's population instead. A planet whose population is reduced to 0 by a Prior Bug infestation effectively becomes PQ 0 to all non-Ori civilization until a military starship of at least Huge scale in orbit "fumigates" the planet. "Fumigation" on a still-populated planet will kill off a percentage of the population while staggering in the short run is much less overall than rampant Prior Bug infestation.
KillSat - The Ori version of a Military Starbase. Does not provide support to friendly starships but has twice the potential defense and attack power of ordinary Military Starbases. Possesses the ability to initiate attacks against enemy vessels within range. Can also provide a unique Invasion Tech (Satellite Strike) against enemy planets within half its zone of influence.