That bad boy is called a chole (cho-lay) bhature (ba-too-ray). The green stuff looks like mint chutney, but if it is only green from the lighting and tastes like savory yogurt it could also be raita.
Cholay bhature. Cholay is chickpeas. Bhature is maida bread. Green sauce is dhaniya chutney made up of dhanyia aka coriander. All these can be looked up on youtube.
The bread component is either a puri or a bhatura, restaurants use them both. I would call it a large puri. The curry component is chick peas, or what I would call cholle (but as somebody said can also be called Channa masala). The green stuff is a mint chutney, sometimes made by mixing mint and yoghurt but this one looks like it came out of a jar ready made.