Indian Government Administrative System
All the levels of Governance have all the 3 parts, legislature, judiciary and executive.
A Member of Parliament (MP) is a representative elected by the voters to a parliament.
MP is a Member of Parliament (In Lok Sabha). They are part of the Union Government legislature.
A Member of the Legislative Assembly (MLA) is a representative elected by the voters of a constituency to the legislative assembly of State. They are part of the State Government System.