Test results should always be reviewed by the patient and her doctor. The doctor will interpret the results as this is within a doctor's scope of practice. That's how it's done. I've never heard of "repa" test so you may have misspelled this. These are results from a hepatitis panel. I can give you general information but your mother must consult her doctor herself.
An HBsAg is a hepatitis B surface antigen. Viral antigens are identifying proteins on the surface of the virus. A hepatitis B antibody is added to a blood specimen to see if the antibody reacts with any antigens, if the antigens are there. The antibodies will attach to the antigen. A non-reactive results indicates there were no antigens present to react.
An anti-HBc IgG is hepatitis B core antibody IgG. We have 5 main types of antibodies our body makes. Another name for an antibody is an immunoglobulin. The 5 are labeled with letters: A, D, E, G and M. Immunoglobulin is abbreviated as Ig. So the 5 Ig's are IgA, IgD, IgE, IgG and IgM. When testing for presence of a virus, we're most concerned with IgG's and IgM's.
IgM's are produced early in an infection and don't last long, so their presence indicates a current or very recent infection. IgM's are produced later in an infection and are long-lived. These are the antibodies that continue to circulate in the blood for years. Their presence indicates a past infection. You can keep them straight by thinking IgM, M for imMediate, and IgG, G for Gone by. .
The anti-HBe tests for antibodies against the hepatitis B e antigen. Again, an antibody that recognizes this antigen was added to the blood specimen to see if there would be a reaction. This results is non-reactive. No reaction.