Dear Sudhakar,

please first try to measure, that the IGBT module itself is ok, be careful if using multimeters that could damage the Gate. Use of a curve tracer would be preferred.

As the gate is capacitive in nature, the resistance after charging should turn out to be in the maegaohm range. 

You could apply a voltage using a battery and measure the current into the gate. In case the gate is ok, current has to be zero after a short gate pulse was delivered. 9V-Block could be used for this.

If current persists, the module is dead anyway.

Also, try verifying the stability of the gate driver output applying a Gate-Resistor/Gate capacitor replacement, something like a few ohms and a few pico-Farrad. This way you can test if the driver output remains stable if  load current is taken from it.

I assume you build proper drivers featuring isolated channels for both, high-side and low-side switches and connected it to the auxiliary control terminals because further mechanisms would be based on misconnections or triggered shorts.

If the IGBTs are not dammaged, you should give us more details: which gate driver do you use, the value of the gate resistor, the frequency and the minimum pulse width.  This is because the gate resistor (or the current limit of the gate driver) with the capacitative input of the IGBT act as a filter and may reduce too short pulses.

Change the source of tension of the command with more powerful one (superior by running 3 A)