What do low granulocytes and low basophils mean?

Blood cells: These are types of white blood cells, part of the immune system. Basophils are present in very low concentrations, so it would be very unusual to have too low a basophils count. But granulocytes are the most predominant wbc, abd can be low for many reasons. Too many to enumerate here, but medications, certain problems such as lupus, etc. A hematologist can help.

Multiple: Low production by marrow, or rapid destruction due to disease or chemicals. Hematology evaluation.