Speaking after his side slipped to a narrow 1-0 defeat, Taylor, who had taken charge of the Saddlers for the first time in competitive action, the manager was pleased with some aspects of the display, but admittedly disappointed with others.
Callum McManaman's second-half strike proved to be enough to secure an opening-day win for Micky Mellon's Rovers, giving Taylor plenty to work upon heading into Tuesday’s Carabao Cup - Round One clash with Doncaster Rovers.
Speaking to the assembled media, Matthew said; "There were things that I liked. There were things I disliked, but looking at the overall performance – first game of the season – I was pleased with a lot of what we produced.
"We were away from home against a team that finished in the Play-Offs last season and have a manager who's been successful at this level before.
"There's obviously things we can work on, but regardless of whether you win or lose, there's always things to get better at.
"The big thing for us now is we use this as an experience to learn. Football is great as we've got another game Tuesday, and then another game on Saturday.
"We'll most definitely look back at this and what we can learn, and try to put that into fruition on Tuesday – and then Saturday.
"We would have loved the three points but, unfortunately, when we got into really advanced positions, we probably didn't make the right decision.
"But it gives us a lot to work on in training and the players the chance to make a better decision next time."