We　study　the　joint　effects　of　the　Coulombic　clot-lead　interaction　and　intralead　electron　interaction　on　nonequilibrium　transport　through　a　quantum　dot　coupled　to　Luttinger　liquid　leads　in　the　Kondo　regime.　By　applying　the　nonperturbative　canonical　transformation　technique　and　extended　equation　of　motion　method　of　nonequilibrium　Green　function　approach,　we　find　two　types　of　zero-bias　anomalies　with　an　enhanced　conductance　for　the　renormalized　exponent　Y＜1　and　a　suppressed　conductance　for　Y＞1.　The　transition　between　the　two　behaviors　is　found　at　Y　approximate　to　1.　For　Y＞1　and　Y＜1,　tunneling　between　the　dot　and　Luttinger　liquid　leads　is　suppressed　and　enhanced,　respectively,　and　they　reflect　two　different　types　of　exciton-assist　tunneling.　These　physics　phenomena　provide　opportunities　to　easily　study　the　transition　of　two-channel　Kondo　physics　in　the　future　experiments.　(C)　2015　Elsevier　B.V.　All　rights　reserved.