The tax impact on RSUs (Restricted Stock Units) and ESOPs (Employee Stock Ownership Plan) arises only when you sell them and realise gains/loss. If you are holding your ESOPs or RSUs you don't have to report in your income tax return. They'll be mentioned in the perquisites section of your Form 16.
It's only when you sell these vested stocks and make a profit, that you will need to report this profit in your income tax return.
Do note that if these are foreign company's stocks you are vesting, you must fill out additional disclosures such as Schedule FSI, Schedule FA in your income tax return.