IGST charge one state.

If you are the payer of the bill then Invoice should be CGST + SGST

As per the proviso inserted in Amendment Act 32 of 2018 , & the same was effective by Notification 1/2019 IGST Act

"Provided that where the transportation of goods is to a place outside India,
the place of supply shall be the place of destination of such goods.".

Hence the Courier company is liable to charge IGST , even though the sender (Supplier) is same state , & you cant avail ITC on same .