Glad your barre chords are coming together! Keep working on it!
"Would you be able to suggest me couple of easy songs rock - blues - country where we apply the barre chord concept?"
Sure! These songs are relatively easy & mix open chords with one or two barre chords.
https://www.guitartricks.com/tutorial/2110
https://www.guitartricks.com/tutorial/1980
https://www.guitartricks.com/tutorial/2241
https://www.guitartricks.com/tutorial/2178
Best of success with them!