The appointments would come into effect immediately, said a statement.
Former Delhi unit chief J.P. Agarwal had resigned recently after the newly-elected eight MLAs complained about his role to Congress vice president Rahul Gandhi.
The Congress was reduced to just eight seats this year from 43 in 2008.
Arvinder Singh Lovely is a legislator and had been a minister for 15 years in the Sheila Dikshit cabinet.
In Chhattisgarh, the Congress hoped to come to power under tribal leader Charan Das Mahant but could not defeat the ruling BJP despite getting 39 seats out of total 90.
Baghel is a legislator and a former minister.
--IANS (Posted on 19-12-2013)