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use warnings;
use strict;
...
  2593 - 2703  ATAATTGCATTATATGAGGCATCATGTGAATGTGTATGGCTTCGCAgaatGGTTA
+ACCAC L=-1
 ATATTAACATCTTGT--------GGTATTGGTTcATTGGAATcacCTACCATTATCTAT
LOC_Os01g01320.1 : PS51364 TB TGF-beta binding (TB) domain profile.

perl -wne '$l = $_ if/^LOC/; print $l,$_ if/tAaAt/i' log_file_you_use.
+txt

LOC_Os01g01320.1 : PS00099 THIOLASE_3 Thiolases active site.
  1269 - 1282  AAAGACGGtAaAtG                                         
+      L=(-1)
LOC_Os01g01320.1 : PS50842 EXPANSIN_EG45 Expansin, family-45 endogluca
+nase-like domain profile.
 tGCTCCTAAaTTATTTTATC-----CT---------------------------------