Kyle Bartley scored Albion's first headed goal from a set-piece this season in their 4-1 rout over Reading on Saturday, and he also set up Dwight Gayle with another towering header from a corner.
It is the first time one of Moore's back three has netted this season, and it means the Baggies have scored 31 league goals already, more than any other team in the top five divisions.
It is also the same amount the Baggies mustered up throughout the whole of last season's dismal league campaign that ended in relegation from the Premier League.
Dwight Gayle scored two on Saturday to take his tally in the league to eight, but Moore is pleased there are goals all over his side.
"You have Kyle Bartley saying he's a threat as well," he said. "He's claiming those two goals.
"I'm pleased there's goals in all areas of the team. Dwight will rightly get the accolades because of his goalscoring prowess, but we've been effective from many areas.
"It was a difficult game against Reading, regardless of the scoreline.
"We had to go and take it and I thought the boys acquitted themselves very well and were worthy winners in the end."
Albion were 1-0 down at half-time before they blitzed Reading with four second-half goals.
Moore put the sluggish start down to their tricky midweek trip to Sheffield Wednesday, but is confident his team can find the gaps in opposition teams as games wear on.
He was also encouraged by a 30-minute cameo off the bench from youngster Kyle Edwards, who has been called up for duty with England under-20s this week.
"I think we saw glimpses of the talent he's got," said Moore. "I thought it might put Reading on the back foot which it did do, and he's contributed to a valuable three points."
But Moore defended 35-year-old Tyrone Mears, who was cheered off by some fans when Edwards replaced him.
"Tyrone came in and played three games in seven days," said Moore. "That shows great testament to him. It was his cross Gayle scored from too."
Albion sit in second place after an unbeaten run of seven games in the league, but Moore refused to be drawn into talk of a promotion push at this early stage.
"All I'm thinking now is, it's a good three points against a good Reading team," he said.
"We've got the result, we're really pleased. I'm not thinking anything else. The boys have got a few days off now to recover.
"I'll analyse this game and the previous 11 over the international break. We'll continue to work, I'm not thinking anything else."