Hope you are doing well !
Now, you can show your income in current year and pay taxes accordingly.
If you are receiving amount in next year, then show it in next year and pay taxes.
Also, you are not an employee of institute,so TDS should be deducted in u/s 194J not u/s 192.
Please find below the relevant section for your reference:
Section 192 of income tax act deals with provisions regarding TDS (Tax Deducted at Source) on salary. An employer is required to deduct TDS from the salary payable to the employees. When an employer is paying salary to an employee, which is categorised in Income under the head Salary, he is responsible for deducting TDS on an average rate of income tax based on the prevailing rate during the financial year by considering the estimated income of the assessee.
As per section 194J, any person (not being an individual or a Hindu undivided family) is liable to deduct TDS in respect of the following payments made to a resident person:
Fees for professional services
Fees for technical services
Director’s fees (not like salary), or
Any sum referred to in clause (va) of section 28 [i.e. non-competence fee]
Thanks & Regards,