What magnetomotive force represents
Magnetomotive force is the driving quantity that sets up magnetic flux in a magnetic circuit. In practical terms it is often described through current and turns together, which is why ampere-turn notation shows up so often in coil and core work.
That does not make it the same quantity as magnetic field strength H or magnetic flux density B. Those are related quantities, but they belong to different steps in magnetic analysis and should not be merged into one converter.