Hi Priyabrata Das,
Thanks for using 3DNA and reporting the unidentified pairing issue you experienced on the Forum. 
The problem is due to DY, which is a special modified case that cannot be properly recognized by 3DNA. More specifically, it is the N7 atom (see the attached image below) that causes the trouble. 
I may consider refining the algorithm in 3DNA v2.4 for base identification in special cases like this. For now, simply renaming N7 to NX (for example) would do the trick. Alternatively (and better yet), you may want to give DSSR a try (see below).
Best regards,
Xiang-Jun
PS. The issue is fixed in DSSR v1.8.8, released today. Here is an excerpt of the DSSR output on your structure (XY.pdb).
List of 4 types of 12 modified nucleotides
      nt    count  list
   1  DP-g    4    DP6,DP7,DP22,DP23
   2  DZ-c    4    DZ10,DZ11,DZ26,DZ27
   3 DP4-g    2    DP4/8,DP4/24
   4 DZ5-c    2    DZ5/9,DZ5/25
****************************************************************************
List of 16 base pairs
     nt1            nt2            bp  name        Saenger   LW   DSSR
   1 DC5/1          DG3/32         C-G WC          19-XIX    cWW  cW-W
   2 DT2            DA31           T-A WC          20-XX     cWW  cW-W
   3 DT3            DA30           T-A WC          20-XX     cWW  cW-W
   4 DA4            DT29           A-T WC          20-XX     cWW  cW-W
   5 DT5            DA28           T-A WC          20-XX     cWW  cW-W
   6 DP6            DZ27           g-c WC          19-XIX    cWW  cW-W
   7 DP7            DZ26           g-c WC          19-XIX    cWW  cW-W
   8 DP4/8          DZ5/25         g-c WC          19-XIX    cWW  cW-W
   9 DZ5/9          DP4/24         c-g WC          19-XIX    cWW  cW-W
  10 DZ10           DP23           c-g WC          19-XIX    cWW  cW-W
  11 DZ11           DP22           c-g WC          19-XIX    cWW  cW-W
  12 DA12           DT21           A-T WC          20-XX     cWW  cW-W
  13 DT13           DA20           T-A WC          20-XX     cWW  cW-W
  14 DA14           DT19           A-T WC          20-XX     cWW  cW-W
  15 DA15           DT18           A-T WC          20-XX     cWW  cW-W
  16 DG3/16         DC5/17         G-C WC          19-XIX    cWW  cW-W