Hi Aiswarya,

Firstly I would like to congratulate you on securing the rank of 5380 in CUSAT CAT 2019 as it is a remarkable achievement and now to answer your question, there are a few government colleges that accept the CUSAT CAT 2019 scores which you can consider for admission into undergraduate engineering degree course under the discipline of civil engineering. 

To know about the colleges that you can consider for admission with your CUSAT CAT 2019 score, please refer to the following link:

 https://www.careers360.com/cusat-cat-college-predictor

BEST WISHES!