She also appointed the district presidents in Ratnagiri, Vasai Virar city and Palghar.
In an official circular, party General Secretary K.C. Venugopal said, "Sonia Gandhi has approved the proposal for appointment of Mugdiya as state Vice President, Ambedkar and Dave as Maharashtra Congress Committee secretaries."
She has also approved the appointments of Advocate Vijai Bhosle as the district chief of Ratnagiri, Onil Almeda as district president of Vasai Virar city and Divakar Patil as the district head of Palghar, he added.
Eyeing a comeback in the state, Sonia Gandhi also reversed the expulsion of former state minister Satish Chaturvedi last month.
Sonia Gandhi has taken a lot of organisational decisions after being appointed the interim party chief on August 10.
In August, Sonia constituted a screening committee with former Union Minister Jyotiraditya Scindia as its chairman and Harish Chaudhary and Manickam Tagore as its members.
She also appointed Mallikarjun Kharge as the Congress General Secretary in-charge of the state, Balasaheb Tharot as the state unit chief and K.C. Padavi as the CLP leader.
In the 2014 elections, the BJP came to power by winning 122 seats in the 288 member Assembly. The BJP's ally Shiv Sena won 62 seats. The Congress and the NCP bagged 42 and 41 seats, respectively.
( With inputs from IANS )