Rodgers had praise for Shelvey, making his 45th appearance for the senior side, and predicted a bright future for the England Under-21 international.
"I felt it was the time of the game we needed him really," he said of Shelvey's second-half introduction.
"It worked well for us because once we got the equaliser they went to more 4-4-2, it gave us the extra man in midfield and we were able to dominate that bit more.
"He has been outstanding. He is still only 20 years of age and is developing and growing all the time and you saw his confidence when he came.
"The (first) goal we worked it very well and he did what he can do very well and I think he will be a big player for Liverpool."