Both David and Livingstone returned from the Indian Premier League (IPL) earlier this week and go straight into the 14-man squad which has been named for the Roses T20 on Friday evening.
Powerful batting all-rounder, David, joins Lancashire Lightning following explosive spells at the Pakistan Super League and IPL already this year, with Multan Sultans and Mumbai Indians.
Livingstone, meanwhile, enjoyed a fine debut season with his new franchise Punjab Kings, the all-rounder scoring 437 runs at a blistering strike rate of 182.
Seamer Richard Gleeson is in contention for a first First Team appearance since last August following injury whilst Liam Hurt is included in the squad after his short-term loan at Derbyshire ended.
Phil Salt is also set to make his home Vitality Blast debut for the Club.
Lancashire Lightning squad to face Yorkshire Vikings:
Dane Vilas (C), Josh Bohannon, Steven Croft, Tim David, Richard Gleeson, Tom Hartley, Liam Hurt, Keaton Jennings, Danny Lamb, Liam Livingstone, Matt Parkinson, Phil Salt, Luke Wells, Luke Wood