Re: Both engines?
Its less a gear change like a transmission and more of a governor like you'd see in modern turboprops. I too may mistaken, I am going off of what engineers have explained to me by some GE's turbine engine R+D engineers that had worked on the LEAP (We are members of the same EAA chapter). I tend to trust them as they hold zero loyalty to their employer and instead equip their craft with engines from multiple different manufacturers even though a GE engine would suffice.
They also seem to have permission to grab whatever they want from the GE Boneyard, one of them has a Velocity V-Twin with a Rockwell-Collins ProFlight flight deck that came off a King Air).