Will duty Drawback scheme continue under GST regime? If yes, what will be the rates of Drawback

Yes. Duty Drawback scheme with certain modifications will continue under the GST regime. The changes in the said scheme are as follows:
• The Drawback shall be available only of Customs duties on imported inputs and Central Excise duty on items specified in the Fourth Schedule to the Central Excise Act 1944 (specified petroleum products, tobacco etc.) used as
inputs or fuel for captive power generation.
• As an export facilitation measure, for the transition period of 3 months, from July to September, 2017, Drawback at higher composite rates will continue to be granted subject to certain safeguards i.e. for claiming the higher rate of drawback, the exporter has to make a declaration and certificate is required that no Input Tax Credit (ITC) of CGST/IGST is claimed, no refund of IGST paid on export goods is claimed and no CENVAT credit is carried forward.
• In absence of such certification, drawback will be restricted to the customs portion of drawback.

(FAQ 1: TRANSITION OF EXPORT PROMOTION SCHEME ON IMPLEMENTATION OF GST)