Does a Hepatitis A Total Antibody test look for IgM antibodies or IgG antibodies? Or does it look for both? Does it differentiate between the two on the results?

Both. IgM comes first in 7 days after onset and IgG comes on 3 to 4 weeks after onset.
Typically, yes. The use of the word "total" indicates that both IgM and IgG HAV antibodies will be tested for. Anti-HAV IgM (hepatitis A IgM antibody) usually falls to an undetectable level by 6 months after HAV infection. Anti-HAV IgG levels rise quickly once the virus is cleared and may persist for many years. Both results are reported and help differentiate between recent and past/resolved hepatitis A.