The Turkey Visa requirements for the validity of supporting document, such as a visa or residence permit from Schengen or OECD member countries, is that it should be still valid (by date) by the time you enter Turkey. 

Previously used or unused single-entry visas are accepted as long as their validity date covers your entry date to Turkey. 

Please note that e-Visas of other countries are not accepted as a supporting document.

You can apply here: