Its first phase, set for December 2026, will take over lines from Manchester Piccadilly to Hadfield, Glossop, and Rose Hill Marple.
Phase one will also take over the Manchester Victoria to Stalybridge route.
The second phase, scheduled for December 2027, includes the Piccadilly-Airport line, Piccadilly-Cheadle Hulme route, and Piccadilly-Middlewood track.
The final phase, earmarked for March to December 2028, is the largest. It will see TfGM take over city centre stations, as well as routes from town to Appleby Bridge, Wigan North Western, Hindley, and Rochdale.
New maps released with the announcement also show Bee Network trains will serve a new £32m station in Golborne, after the government approved its outline business case.
The phasing of the plan sees 64 stations join the Bee Network by 2028, with a further 32 coming in two years later, taking the total to 96.