Sizing a motor starter
When choosing a relay or starter you need


Contact voltage rating >= supply voltage, 230 V in your case.
Contact current rating >= current drawn by the load. This may be considerably more than the steady running current.


The start won't 'supply' that current in the sense of forcing it into the motor. If, on the other hand, the motor draws or 'calls for' that current you know that the starter is capable of handling it.

Since it is a starter, the manufacturers will have taken the starting surge into consideration. If it's capable of starting a 3 HP motor it will be fine on a 2 HP.

Make sure you've got the right coil voltage for your control circuit.