@Sbs0515 ,Namaste
As a Non-Resident of India ( i.e. Indian citizen, whom is domiciled abroad temporarily ), living in the USA on J visa, your US sourced income is exempt from US taxes per the US-India tax treaty. As a researcher / teacher , the treaty exempts you from US sourced income from the J-1 activities. However, if you have other US sourced income, then the treaty is silent about that.
Indian Taxes are on "Resident" basis -- it world income on residents only. Since you are a resident of US during your sojourn in the USA you are immune from Indian taxes on US source income. Indian sourced income may still be taxed as a non-resident.
Does this answer you query ? Is there more help you need ?
Namaste ji
pk
