Diabetes and hemoglobin. is there any relationship between diabetes and anemia/hemoglobin?

Yes: Two ways. First, some diabetics develop "anemia of chronic disorders", an anemia caused by release of a hormone called hepcidin. Second, the hormone most responsible for blood production, erythropoietin, is made in the kidney. If the kidney is damaged by diabetes, the production of erythropoietin falls, and this results in fewer red blood cells being made, which causes anemia.

Yes: Diabetes affects the kidneys. The kidneys produce a hormone erytropoetin which stimulates the bone marrow to produce red cells. As kidney function declines the kidney ability to produce erytropoetin declines, leading to less red cells, anemia.