Macro resolution problem

[Sajid01]

The problem appears to be of scope of the macro variable VARIABLE_MACRO_VAR_RESOLVES.
As you are defining this variable in the macro_var,  declare it global.

%global  VARIABLE_MACRO_VAR_RESOLVES;

Without this macro resolution fails.
With this in view I have run a test code mimicking your code and see everything work.

My code is given below

/*
Step 1 : Create the macro macro_var and store in the auocall location
with the name macro_var.sas
The location of my auto call library is /home/myuid/Master
*/
 %macro macro_var;
%global  VARIABLE_MACRO_VAR_RESOLVES;
%let VARIABLE_MACRO_VAR_RESOLVES="resolved";
%put "This from inside the macro macro_var";
%put &=VARIABLE_MACRO_VAR_RESOLVES ;
%mend macro_var;

The above is saved as macro_var.sas at my auto call library  location /home/myuid/Master.
Next in created another program having macro_other as follows

Step 2 : Create the macro   macro_other and call macro_var
%let path=/home/myuid/Master;
option sasautos=("&path" sasautos) mautosource mrecall;
%macro macro_other;
%macro_var
%put " From inside the  macro_other but outside macro_var";
%put &=VARIABLE_MACRO_VAR_RESOLVES. ;
%mend macro_other;

%macro_other
%put "From Outside the _macro_other";
%put &=VARIABLE_MACRO_VAR_RESOLVES. ;

I executes the second code and the log is as follows

1          OPTIONS NONOTES NOSTIMER NOSOURCE NOSYNTAXCHECK;
 68         
 69         %let path=/home/myuid/Master;
 70         option sasautos=("&path" sasautos) mautosource mrecall;
 71         %macro macro_other;
 72         %macro_var
 73         %put " From inside the macro_other but outside macro_var";
 74         %put &=VARIABLE_MACRO_VAR_RESOLVES. ;
 75         
 76         %mend macro_other;
 77         
 78         %macro_other
 "This from inside the macro macro_var"
 VARIABLE_MACRO_VAR_RESOLVES="resolved"
 " From inside the macro_other but outside macro_var"
 VARIABLE_MACRO_VAR_RESOLVES="resolved"
 79         %put "From Outside the _macro_other";
 "From Outside the _macro_other"
 80         %put &=VARIABLE_MACRO_VAR_RESOLVES. ;
 VARIABLE_MACRO_VAR_RESOLVES="resolved"

I have tested on SAS® OnDemand for Academics.