The Magpies have been drawn in Group A in the northern section of the draw which is split into two groups of four teams, while the southern section is divided into three groups of four teams.
And Becky Langley's side have been handed a tough-looking group, with the other three teams all currently competing in the Barclays Women's Super League.
United are familiar with two of their opponents, having faced the Toffees in a pre-season friendly at Finch Farm last weekend, while they also took on the Red Devils at Leigh Sports Village in last season's Adobe Women's FA Cup fourth round.
Confirmed fixture dates for matches involving the Magpies, as well as ticket information, will be announced in due course.
Group A
Newcastle United, Everton, Manchester United, Liverpool
Group B
Durham, Sheffield United, Sunderland, Blackburn Rovers
Group C
West Ham United, Southampton, Portsmouth, London City Lionesses
Group D
Birmingham City, Leicester City, Bristol City, Brighton & Hove Albion
Group E
Crystal Palace, Charlton Athletic, Tottenham Hotspur, Aston Villa
Group stage fixture dates
2/3 October 2024
16/17 October 2024 & 13/14 November 2024
23/24 November 2024
11/12 December 2024
Knockout stages
Quarter-finals: 22/23 January 2025
Semi-finals: 5/6 February 2025
Final: 15/16 March 2025