设数列\(\{a _{n} \}\)满足：\(a _{1} =1\)，\(3a _{n+1} -a _{n} +4=0\)，\(n∈N*\)．
\((1)\)求证：数列\(\{a _{n} +2\}\)为等比数列，并求出\(\{a _{n} \}\)的通项公式；
\((2)\)若\(b _{n} =a _{n} +\log _{3} (a _{n} +2)\)，求数列\(\{b _{n} \}\)的前\(n\)项和\(S _{n}\)．