Well right off the bat, there is something wrong with the code you posted. package B defines sub SayByeBye, but it Exports "SayBye". If you want package B to inherit sub SayBye from Package A, you need to use the -> operator, and probably should be using objects access the inherited methods. While the code below will work, I think you need to review why you are using Exporter, and whether you want a procedural approach, or an OO approach.

package A;
    require Exporter;
    our @ISA        = qw/ Exporter /;
    our @EXPORT     = qw/ SayBye /;
    our $language   = "US-English";
    $A::first       = "Alpha";
    sub SayHello    {"hello from package A\n"};
    sub SayBye      {"Goodbye.\n"}

package B;
    require Exporter;
    our @ISA        = qw/ Exporter A /;
    our @EXPORT     = qw/ SayBye /;
    $B::first       = "Bravo";
    sub SayHello    {"hello from package B\n"};
    sub SayByeBye   {print "\$_[0] == $_->[0]\n";$_[0]->SayBye().$_[0]
+->SayBye();}

package main;
    ### begin_: get stuff from A
    print("$A::first\n");
    print A::SayHello();
    print("$language\n");
    print A::SayBye();
    print "\n---------------------\n";

    ### begin_: get stuff from B
    print("$B::first\n");
    print B::SayHello();
    print("$language\n");
    print B->SayBye(); ### <-- ERROR Undefined subroutine &amp;B::SayB
+ye
    print B->SayByeBye();
    print "\n---------------------\n";
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