To retarget your Move One animation to a rig within Cinema 4D, please follow these steps:
1. Open a C4D scene with your rig
2. Import MoveOne animation
3. Rotate it -90 degrees on R.P in Freeze Transform
4. Set the frame to -1 to set the MoveOne rig to T-pose
5. Select MoveOne's first joint in the hierarchy (Root) and add Tags > Rigging Tags > Character Definition
6. Open Manager > Extract Skeleton
7. Set Reference Pose. Make sure MoveOne's reference pose is similar to the target's rig (your rig) reference pose. See step 4
8. Repeat 5, 6, and 7 for your (target) rig
9. With your rig selected click Create Solver
10. Drag and drop MoveOne's Character Definition from outliner to the Source Character
11. Play your animation