The 35-year old said the match against Ipswich on the weekend was a harder contest than the one they had with the Baggies four days earlier.
"It was a tough win against a side that is showing signs of starting to turn things around," said Moore who notched up his 600th senior appearance in the match.
"They made life harder for us than West Brom, and we have to be pleased with three points to go with our West Brom victory."
Barnsley boss Mark Robins also admitted it was a tough encounter.
"The conditions were shocking and it was always going to be a tough game," he said.
"We tried to turn it into a cup final.
"We needed to be first to the second balls and we did that for a while.
"It's the first time we've recorded back-to-back wins since Boxing Day, so from that point of view it was excellent.
"I think we deserved to win, but Ipswich had one or two chances too. The windy weather didn't help the game with the conditions shocking, atrocious, and didn't make for a good game."