Hi, you did not mention how old is your baby.Cold
persisting for 2 weeks leading to a bad cough
which is now progressive as you mentioned needs a thorough work up to rule out lower respiratory tract
infection. A chest X ray
with CBC is warranted at this stage. The baby needs to be started on an antibiotic course, preferably amoxycillin
and clavulinic acid once the test are suggestive of underlying infection. Do specify which liquid medicines have been prescribed as it could be antibiotic drops to control infection. Yes breast feeding should be encouraged as it is the complete food for your baby and has anti infective properties. View this condition with caution till symptoms subside.