/bin/sh is often a different shell interpreter than bash. On my ubuntu system, it's a symlink to dash. The different shells have different syntax.
[ foo ]
and test foo
are equivalent in both bash and dash.
[[ foo ]]
is a bash expression that is similar to [ ]
tests, but with some differences that are noted in man bash.
[[ expression ]]
Return a status of 0 or 1 depending on the evaluation of the
conditional expression expression. Expressions are composed of
the primaries described below under CONDITIONAL EXPRESSIONS.
Word splitting and pathname expansion are not performed on the
words between the [[ and ]]; tilde expansion, parameter and
variable expansion, arithmetic expansion, command substitution,
process substitution, and quote removal are performed. Condi‐
tional operators such as -f must be unquoted to be recognized as
primaries.
When the == and != operators are used, the string to the right
of the operator is considered a pattern and matched according to
the rules described below under Pattern Matching. If the shell
option nocasematch is enabled, the match is performed without
regard to the case of alphabetic characters. The return value
is 0 if the string matches (==) or does not match (!=) the pat‐
tern, and 1 otherwise. Any part of the pattern may be quoted to
force it to be matched as a string.
An additional binary operator, =~, is available, with the same
precedence as == and !=. When it is used, the string to the
right of the operator is considered an extended regular expres‐
sion and matched accordingly (as in regex(3)). The return value
is 0 if the string matches the pattern, and 1 otherwise. If the
regular expression is syntactically incorrect, the conditional
expression's return value is 2. If the shell option nocasematch
is enabled, the match is performed without regard to the case of
alphabetic characters. Any part of the pattern may be quoted to
force it to be matched as a string. Substrings matched by
parenthesized subexpressions within the regular expression are
saved in the array variable BASH_REMATCH. The element of
BASH_REMATCH with index 0 is the portion of the string matching
the entire regular expression. The element of BASH_REMATCH with
index n is the portion of the string matching the nth parenthe‐
sized subexpression.