Looks like the name shows a Vedic (Hindu) person getting converted, and trying his best to keep some semblance of past as well as a good compromise with his present and future. This reflects some forced conversion.
Khuda - Islamic God, the God of the Moslem Invaders.
vardha - to increase, to prosper, to multiply and grow.
ya - caustive, instrumentive.
aan - present participle.
So 'vardhyaan' itself means God - some one who is instrumental in multiplying and grow.
