As of March 2020, only a small hand luggage measuring 35 x 20 x 20 cm can be carried free of charge on Cyprus Airways Economy Basic fares. Baggage up to 10 kg can be added to this fare at the next booking step for 10 eur, or up to 23 kg for 35 eur in one direction.
If you need both checked baggage up to 23 kg and a larger carry-on bag (55 x 40 x 20 cm, 10 kg), buy tickets on the Economy Flex fare, which is more expensive by 41 eur / flight.
Strollers for children are carried free of charge and pets can be brought along for a fee 50 eur.