I'm trying to implement proper FTL travel in my story. I have already looked at the Alcubierre Drive, but every implementation of said drive that I've seen is too outwardly obvious for my taste. Currently, I just have a hyperdrive that allows ships which have it equipped to jump into a higher pocket dimension where they can move from point A to B faster than they would than if they were travelling at sublight speeds. As for interuniversal/dimensional travel, I have something called a rift drive, which allows ships to travel between universes via rifts, cracks in spacetime. Both of these modes of travel are pretty poorly defined in how they function and are very heavily handwaved, but that isn't the subject of this question. (I'd love if someone could help me define them, though!)
The issue at hand is that FTL travel and interdimension/universal travel are meant to be separate from each other-- and I'd like to keep it that way. As it stands, someone with the know-how and a screwdriver could probably modify a hyperdrive to achieve interdimensional travel, given that it already allows ships to jump into a pocket dimension. All they would have to do is configure it to jump to other universes instead of/alongside pocket universes. How do I separate the hyperdrive from a rift drive?
Edit: Here are some clarifications and constraints.
I'm looking for help defining the celestial mechanics, not the engine mechanics. Probably should've worded my question to be more in-line with that. Apologies!
In response to Starfish Prime's comment-- The difference between rift drives and hyperdrives is that rift drives are used for interuniversal travel, whereas hyperdrives are used for intrauniversal travel. If you were to mount a rift drive onto a starship and try to jump to Alpha Centauri from our Solar System, it wouldn't work- using the rift drive just makes the ship too fast for accuracy over such small distances. Conversely, if you wanted to jump from TRA-045 to TRA-309 with a hyperdrive, it wouldn't work. Using the hyperdrive makes the ship too slow to bridge the gap.