Since you have completed your mbbs from Karnataka,you are eligible to apply for state quota seats in Karnataka.

Hello Aspirant,

Eligibility for NEET PG Karnataka

The nominee should be a resident of India.

The nominee must have has earned MBBS from an establishment placed in that place and is an inhabitant of Karnataka.

Or

A nominee who earned MBBS from any academy acknowledged by the National Medical Commission (NMC) and their father and mother carry a resident card.

It is obligatory to earn a compulsory rotatory residential internship on or before March 31, 2022.

The nominee should be enrolled with the state medical committee or national medical commission.

Eligibility for Kerala NEET PG

Nominees of Indian lineage or an individual of Kerala lineage, or an individual of Indian Origin (PIO) or Overseas Citizen of India (OCI) having origins in Kerala.

The nominees whose parents do not belong to Kerala but have accomplished their MBBS degree from medical schools in Kerala and have nominated Kerala as their domicile state are competent.

There is no age threshold.

Nominees must possess an MBBS degree proof handed out by a medical college that is accepted by the Medical Council of India (MCI).

Nominees must be enrolled with MCI or State Medical Council (SMC). You will have to introduce your registration certificate to the council at the time of enrollment.

Nominees must earn a one-year rotatory internship on the date of or before the date of 31 March 2022, occupy and provide the certificate of the fulfilment of it.

So, you're only competent for Kerala state PG admission.

Regards.