Step 1: Analyze and match each item from List-I.
A. Tracheophytic cryptogams
Cryptogams reproduce via spores and lack seeds. ``Tracheophytic'' indicates vascular tissue. Pteridophytes (ferns) are tracheophytic cryptogams, unlike mosses (bryophytes).
Match: A $\rightarrow$ I (Pteridophyte).
B. Reflexed margin of fertile leaflet
In ferns (pteridophytes), the margin of a fertile leaflet curls to form a false indusium, protecting the sori. ``False indusium'' directly matches this trait.
Match: B $\rightarrow$ III (False indusium).
C. Vessels and companion cells are absent
Vessels are specialized xylem cells, and companion cells are in the phloem, typical of angiosperms. Gymnosperms lack both (using tracheids instead of vessels).
Match: C $\rightarrow$ IV (Gymnosperms).
D. Non Archegoniate, embryophytes
Embryophytes are land plants with embryos. ``Non Archegoniate'' means lacking archegonia. Angiosperms lack archegonia, using ovules instead.
Match: D $\rightarrow$ II (Angiosperms).
Step 2: Compile the matches.
A $\rightarrow$ I, B $\rightarrow$ III, C $\rightarrow$ IV, D $\rightarrow$ II.
So, the pairing is: A-I, B-III, C-IV, D-II.
Step 3: Check the options.
Option (1) A-I, B-III, C-IV, D-II matches our pairing.
Step 4: Verify option (4) as requested.
Option (4) is A-IV, B-I, C-III, D-II:
A-IV: Tracheophytic cryptogams $\rightarrow$ Gymnosperms (Incorrect; gymnosperms produce seeds).
B-I: Reflexed margin $\rightarrow$ Pteridophyte (Partially correct, but III is more specific).
C-III: Vessels and companion cells absent $\rightarrow$ False indusium (Incorrect).
D-II: Non Archegoniate, embryophytes $\rightarrow$ Angiosperms (Correct).
Option (4) is incorrect due to mismatches in A and C.
Final Answer: (1) A-I, B-III, C-IV, D-II.