Heat 2 tablespoons oil in a large skillet over medium-high heat.
Add eggplant and next 4 ingredients; cook 7 minutes or until vegetables are tender, stirring occasionally.
Add crawfish; cook 3 minutes.
Remove from heat, and cool.
Pour oil to depth of 3 inches in a Dutch oven; heat to 36
Whisk together eggs and next 3 ingredients; whisk in flour just until moistened. Fold in eggplant mixture. Drop batter by heaping tablespoonfuls into hot oil. Fry beignets, a few at a time, 3 minutes or until golden, turning once.