Here are the January 2019 Amavasya Tharpanam Sankalpam Mantras for Sarva Amavasya. 5 January 2019 is Sarva Amavasya.
5 January 2019 is – Margashirsha Amavasya, Poush Amavasya, Margazhi Amavasai and Dhanu Maasa Amavasya as per Amavasyant Chandramana Panchang, North Indian Hindi calendars, Tamil and Malayalam calendars respectively.
5 January 2019 – Sarva Amavasya
Vilamba nama samvathsare ,Dakshinayane , hemantha rithou, dhanur mase , Krishna pakshe, adhya Amavasya punya thidhou , sthira vasara yukthayam, moola nakshatra yukthayam, shubhayoga, shubhaKarana evam guna viseshena, visishtayam asyam Amavasyam punya thidhou, amavasya punyakale, darsa sradham , thilatharpana roopena adhya karishye
(Amavasya up to next day 6 Am and moola Nakshtra up to 3.08 Pm and then Uthrashada nakshatra ).