The Bees raced into a four-goal lead with barely half an hour played before Dominic Poleon grabbed a late consolation for the visitors, with Brennan heaping praise on his team’s first-half display.
He said: “I thought in the first half, we were scintillating. There were some fantastic performances, collectively and individually, and some fantastic goals.
“There were lots of good phases for us. Lots of control, lots of domination. I thought we were good in the second half as well without putting the icing on the cake.
"I’m not going to talk about the goal they scored - it is what it is, so we take the three points and move on to the next game."
After blitzing Saturday’s opponents with four brilliantly taken first-half goals, from Nicke Kabamba, Mark Shelton, Rhys Browne and Ryan Glover, the Bees failed to convert some good chances in the second half.
Brennan added: “We were brave in our play and in what we do. I thought our finishing was good, but not in the second half. I thought our finishing in the second half was really poor.
“We had some great chances to make it five, six, or seven, and we didn’t take them, so that’s frustrating."
The Bees boss praised the individual quality of key players on the day, though, as Browne and Shelton both struck superbly in the rout.
“I thought (Rhys) Browne’s goal as a team goal was so collective. There must have been about 20-odd passes, all forward passes and forward movements. Lots of good phases and a great finish from Browne," he said.
“Shelton’s goal is a worldie. It’s an instinctive volley. A fantastic finish and a great goal.”
Despite sitting two points clear at the top of the National League, Brennan refused to be drawn on promotion talk and provided clarity on what he expects from his side come the end of the campaign.
“It’s not even got going yet. There are 24 games to go,” he replied when asked about the closely contested top spot.
“We’ll see where we are next Easter. When we get to March and April, we’ll see where we are then. I just know what this division is like. As much as you can win three on the bounce, you can lose three or four on the bounce.
“I know how relentless this division is, and you just don’t get too far ahead or too carried away with the position we’re in. We’re happy with our points total and what we’ve returned from the 22 games we’ve played. We’ve got 47 points, so that’s where we want to be.”
Barnet continue their pursuit of promotion to the EFL when Halifax Town visit the Hive on Saturday, before Sutton United make the same trip on Boxing Day.