An Access "database" is a container with a bunch of objects (tables, forms,
queries etc.)
If I make a guess at the implied question, the essence is that you want to
add the data from the tables in database "B" into the corresponding tables in
database " A"    Presumably everything is identical between the correspnding
tables, including the rules and definition of the data that has been entered.
Now two questions:
1. Are any of the linking fields autonumber?
2.  Do you have to look for and eliminate duplicated records?
3.  Do you have a possibility that the values in the linking fields may be
duplicated between the two databases?
If the answer to #1 and #2 was "no", and #3 is "yes"  then one way would be
to make a modification to all of the linking fields in all of the tables in
database "B"  (add leading digits, double them, add a fixed number to them,
repeat the contents etc.), and then, using append queries, append each table
in "B" into it's twin in "A"
Sincerley,
Fred