[1][2][3] He graduated from the University of Minnesota's Carlson School of Management in the United States.

Responsible for the development of the energy, mining, information and communications technology, water and waste management sectors and the supervision of all public enterprises in Kosovo.

Lluka served as the 6th[7][circular reference] Minister of Economic Development in the Government of the Republic of Kosovo, covering sectors such as Energy, Mining, Information and Communications Technology, Water Management, Waste Management, Telecommunication and Postal Services.

Some of the projects that Minister Lluka has developed and signed include the construction of a new, 1.3 billion euro power-plant,[8] the establishment of the energy efficiency fund, the establishment of Kosovo Digital Economy Program, the establishment of TechPark Prishtina and Digital Excellence Center (some of the biggest parks in the region that support entrepreneurs and innovators), the establishment of creative centers in all high schools of Kosovo and digitalization of the water utility companies through smart grids.

Lluka volunteered as the co-chair of the Kosovo American Education Fund (KAEF) Committee (2014 – 2018).