Gregor Townsend continues to rotate his squad and gave opportunities to players who impressed in the 'A' fixture against Edinburgh on Monday.
Speaking to the BBC after the game, Gregor said: "Eight of our squad played on Monday against Edinburgh and they did well there, so they deserved an opportunity.
"It is about making sure we manage the squad throughout the season.
"We've got players that need to be rested - international players because they, rightly, can't play five games in a row.
"Our rotation system only works if people play well when selected and that's what they've since done last season.
"They blew us away sometimes with their performances and taking opportunities."
The win puts the Warriors top of the PRO12 table, although Ospreys could regain the lead should they keep their own 100% record intact away to Munster on Saturday.
"Connacht kept coming back at us and the effort we put in was fantastic," said Gregor.
"Connacht work really hard for one another like they've always done, but they've got more ambition and more organisation as well. They are tough to break down."
Glasgow travel to Italy to face a Treviso side who have lost their opening three games ahead of Sunday's trip to take on Dragons in Wales.
"Treviso are a tough team at home," said the Glasgow coach. "They've not played as well away from home this season - they lost heavily to Ospreys and to Scarlets.
"But they pushed Munster very close and we'll watch how they get on this weekend.
"Any away game, you know you have to play well to win, but we have got confidence throughout the squad and the tempo they played at tonight was fantastic.
"We were really excited in the warm up. We thought the players have brought energy tonight and they got their rewards."