What Robert said! I’d go further than “It is generally considered bad practice to put connectors in the output of VFCs.” and positively recommend NOT using connectors and NOT swapping one VFD between several motors.
The VFD isn’t a magic black-box producing a sine wave like wot comes out of a mains socket. Rather the electronics simulate a sine wave by pulse width modulating a DC signal, and pulses do not behave like sine waves! No problem with pulses when a VFD is correctly connected to the motor, because the motor windings smooth them out. But, red-alert, if a VFD phase is disconnected whilst power is applied, the motor winding can behave like a car-ignition coil, and several thousand volts appear on the end. The operator might get a nasty shock, but more likely the high voltage will punch holes through the motor’s insulation, and/or the VFD’s electronics, turning them into toast.
These days VFDs often come with factory defaults allowing the unit to drive almost any motor out-of-the-box, hurrah! However, an advanced user might well chose to alter the defaults to suit his a particular motor: soft-start, frequencies, and a few hundred other tweaks! And some VFDs automatically tune themselves to suit the motor, and get confused if a different one is plugged in! Auto tuning used to be reserved for top-end VFDs, but it’s filtering down into cheaper units. Either way, not clever to share a tuned VFD between different motors without resetting it first.
Sharing a VFD is a bodge that works perfectly until something goes wrong! Many ways it can go bad, including the operator absent-mindedly pulling the plug with power on, or the contact pins wearing or corroding, or a wire coming loose. So best practice is to dedicate a separate VFD to the motor and hardwire it in. This suits another best practice rule, the 3-phase wiring should be as short as possible, less than a metre, and certainly not running round the workshop.
Another misunderstanding can cause trouble! Most VFDs are components, meant to be protected inside another box, ideally earthed metal. Partly to secure the wiring and protect the operator from exposed terminals but also very important to keep swarf, dirt and condensation out of the electronics.
Similarly, though VFDs can be controlled with the supplied keypad, these are only intended for setting up – they aren’t robust! Normal operation calls for a remote speed control pot, forward/stop/reverse switch and emergency stop. These controls can be mounted in the box protecting the VFD, but it’s usually more convenient to have the VFD near the motor (short wires are best), with the controls handy for the operator. Control wiring can be any length.
These problems all relate to cost cutting measures. Up to the owner to balance the risk, but, as always, “too cheap” is liable to become “unfit for purpose”.
A minor detail next. The photo shows the motor terminals are currently strapped for STAR aka Y connection, ie 400V rather than 230. The straps need to be moved to the delta Δ configuration. In the pic below, the existing Y connection is high-lighted in red, you want to move the straps into the green position (delta), as per the diagram inside the lid.

Dave