The Whites were on top for the first hour and created the better chances, hitting the post through Kemar Roofe before the Reds’ Ben Woodburn grabbed all the headlines with an emphatic 81st-minute finish.
Divock Origi’s second strike in as many matches had broken the deadlock in the 76th minute at Anfield.
“The team can be proud of what they did,” Monk said. “With a little bit more composure, we would have scored two or three goals.
“Unfortunately their quality came through at the end and they scored the goals.
“We deserved more, if we carry on like that we can be successful. The ambition now is to have these types of games week in, week out.”
A fan who was airlifted to hospital during Chesterfield's 3-1 defeat to Lincoln is responding well to treatment, the Spireites have said.
Neil Warnock is not letting himself dream of the Premier League despite Cardiff edging closer to promotion with a 3-2 triumph over Birmingham.
Chris Wilder thought his Sheffield United side just about shaded the goalless draw at Ipswich and enjoyed the best of the limited chances.
Paul Hurst highlighted the contribution of influential skipper Abu Ogogo after Shrewsbury beat Walsall 2-0 to stay in the top two in League One.
David Flitcroft rued another missed opportunity as League Two automatic-promotion hopefuls Mansfield let a lead slip at home for the third game in a row.
Blackburn boss Tony Mowbray believes Adam Armstrong is better than League One standard after the on-loan forward netted twice in the 3-0 win over Blackpool.