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Looks too complicated.
Why 3 input files?
How does you pattern_grp file look like?
Say it looks like
H_A hot.*aaa.*
C_B cold.*bbb.*
C_A cold.*aaa.*The value pairs seem related.?
Then you can...

Another guess what you might want:
while IFS= read pat
do
printf "%s match %s times\n" "$pat" $(grep -c "$pat" input_file)
done < pattern_filehot.*aaa.* match 2 times
cold.*bbb.* match 1 times...