What will happen if two phase supply given to the single phase motor?

Two phase is single phase for today's purposes. We generally do not call 240v single phase "two phase" anymore, although technically that's what it is. 240v two phase has power to both lines to the motor versus 120v single phase has one power line and a neutral. Fortunately most single phase motors today are dual voltage. So check your nameplate data of the motor for guidance. The use of proper motor protection will prevent any damage to motors if wrong voltages are inadvertantly applied.

Comment

A two-phase system is an archic system, in which two phase voltages are displaced from each other by 90 electrical degrees. Like three-phase, it had the advantage of producing a naturally-rotating magnetic field, so could drive induction motors without any need for a starting capacitor.