Yes Sir. Either You or your Vendor have to Generate E-way Bill if the Consignment Value exceeds ₹50,000. Your Case is a case of BILL-TO-SHIP-TO Model. So either You or your Vendor can generate an E-way Bill keeping in mind that the details in column- Bill To and Ship To will be different.
And as far as the maintenance of Records are concerned you must possess your Suppliers Invoice inorder to claim ITC...