These work as expected:

$ perl -le'print for < abc/OneWord >'
abc/OneWord

$ perl -le'print for < abc/Two Words >'
abc/Two
Words

$ perl -le'print for < abc/Two\\ Words >'
abc/Two Words

$ perl -MFile::Glob=bsd_glob -le'print for bsd_glob("abc/Two Words")'
abc/Two Words
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Remember, space is a pattern separator unless you use bsd_glob from File::Glob. You need to precede it with a backslash for it to be interpreted literally.

I can't account for the different in

$ perl -le'print for < '\''abc/OneWord'\'' >'
'abc/OneWord'

$ perl -le'print for < '\''abc/Two Words'\'' >'
abc/Two Words
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You can get consistent behaviour by using bsd_glob or by treating ' as a meta character.

$ perl -MFile::Glob=bsd_glob -le'print for bsd_glob("'\''abc/OneWord'\
+''")'
'abc/OneWord'

$ perl -MFile::Glob=bsd_glob -le'print for bsd_glob("'\''abc/Two Words
+'\''")'
'abc/Two Words'
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$ echo              '< \\'\''abc/OneWord\\'\'' >' &&
> perl -le'print for < \\'\''abc/OneWord\\'\'' >'
< \\'abc/OneWord\\' >
'abc/OneWord'

$ echo              '< \\'\''abc/Two\\ Words\\'\'' >' &&
> perl -le'print for < \\'\''abc/Two\\ Words\\'\'' >'
< \\'abc/Two\\ Words\\' >
'abc/Two Words'
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So:

• Escape spaces or use bsd_glob unless you want them treated as a pattern separator.
• Escape quotes or use bsd_glob.

I consider glob (aka < GLOBEXPR >) to be buggy and obsoleted by bsd_glob.