The Blues picked up their first three points away from home with a 4-0 victory over Bray Wanderers and manager Taylor was pleased with the display
Goals from Axel Bossekota and Shane Tracy ensured that the Blues defeated Pat Devlin's side by a score of 4-0 at the Carlisle Grounds and Taylor was "very happy" with his team's performance.
"We were very happy with our performance against Bray and it was great to follow up our win against Bohemians with our first away victory of the season," he said. "We played some of our young players and they also did really well."
The Limerick boss now has his sights set on the forthcoming league encounter against Shelbourne on Saturday, April 27, with the hope that his side can add to their tally of 13 points with a home victory over Alan Mathews' side.
Acknowledging that it would not be an "easy" game against Shels, Taylor urged the Limerick supporters to "get behind" the team on Saturday.
He said: "We now look forward to our next game at home to Shelbourne who are coming off a very good away point to Cork City in their last game.
"It will not be easy against a very physical well organized side, but if we play our football as we can and our brilliant supporters get behind us once again we can get the right result on Saturday night."
Limerick host Shelbourne at Thomond Park on Saturday, April 27. Kick off 19:45 BST.