This is an engine to put in other decks, not an actual deck itself. All the trap cards, with the exception of Assault Mode Activate are simply filler and are not part of the engine.
The Psi-Reflector engine is comparable to the Invoked engine in that you can use your normal summon to make a powerful monster. With one card, you can make almost any level 6-9 synchro monster as long as it has generic requirements. The advantages it has over Invoked is that it is searchable by Emergency Teleport and One for One, so it can be used without taking up your normal summon, which Invoked can not, but does require to run more bricks and cards in general.
The main sequence of play with this engine is to summon Psi-Reflector and search Assault Beast. You then discard Assault Beast to search Assault Mode Activate. Then, you use Psi-Reflector to revive Assault Beast through its effect by revealing Activate, increasing its level depending on the synchro monster you want to summon, and then synchro summoning the said monster.
If you synchro summon Power Tool Dragon, you can use it’s effect to grab Living Fossil and summon back Reflector, and then make Crystal Wing Synchro Dragon. This lets you play it in a wide variety of decks to gain a hard to beat over boss monster with a monster negate.