Lets us first understand the term Drawer in the banking system; drawer is the person who makes or writes a bill of exchange (check, draft, letter of credit, etc.). Drawer is the one who is responsible to direct the drawee (such as a bank) to pay the stated amount to a third party (the payee)
Mostly in the case when the cheque is rejected by the bank, it is rejected with the statement saying "reject kindly contact the drawer". Statement can be issued to Indicate some technical error in issuing the said cheque.
A cheque can be rejected due to several reasons such as irregular drawing, insufficient balance.
To get it resolved it is recommended to approach the customer or branch to find out the exact reason.