Sachindu Colombage, 28, who has not played international cricket, has been included in the 16-member ODI squad.
All-rounder Tharindu Ratnayake, 30, who has played two Tests, was named in the 16-man T20 squad.
The first T20 is on September 16 at Southampton, with the second two days later in Cardiff. The final T20 is on September 19 at Manchester.
The ODI series begins on September 22 at Chester-le-Street, followed by matches at Headingley on September 24 and The Oval on September 27.
Sri Lanka one-day squad: Kusal Mendis (capt), Pathum Nissanka, Kamil Mishara, Kamindu Mendis, Charith Asalanka, Janith Liyanage, Pavan Rathnayake, Dasun Shanaka, Wanindu Hasaranga, Dunith Wellalage, Maheesh Theekshana, Sachindu Colombage, Dushmantha Chameera, Eshan Malinga, Asitha Fernando, Dilshan Madushanka
Sri Lanka T20 squad: Kusal Mendis (capt), Pathum Nissanka, Kamil Mishara, Lahiru Udara, Kamindu Mendis, Charith Asalanka, Janith Liyanage, Dasun Shanaka, Dunith Wellalage, Wanindu Hasaranga, Maheesh Theekshana, Tharindu Rathnayake, Dushmantha Chameera, Eshan Malinga, Nuwan Thushara, Binura Fernando
