Cousin — who arrived from Lens in the summer — set the ball rolling when he grabbed the opener in a 3-1 win against the high-flying Steelmen.
But a section of Rangers support are unconvinced by the Gabon striker, inspirational in some games and anonymous in others.
There are those who would prefer to see Kris Boyd given a shot in the first team instead and Cousin’s name was even met with some jeers.
But Smith is hoping his 41st-minute opener will have gone some way to winning over those unconvinced.
“Like everybody else, when you bring a player you have to try to help him to settle down.
“One of the biggest problems we have had this season is Jean-Claude Darcheville has been unable to start on a more regular basis for us.
“We have a number of players who can play as strikers but they need to have a certain type of partner to help them out.
“Daniel has a number of goals for us and another good one today. We just have to keep working away, and I’m sure Daniel will have a response shortly.”
Cousin’s strike was cancelled out when Paul Quinn levelled for Motherwell following an impressive spell from the visitors. However, they were denied a point when Chris Porter bundled the ball into the back of his own net before substitute Boyd netted in injury-time to seal a flattering win.
Meanwhile, Motherwell boss Mark McGhee was still fuming afterwards following a confrontation with fourth official Bill Collum shortly before Rangers’ opening goal.
He said: “I shouted at the linesman to have a word with himself because I thought it was a corner. Suddenly, from not having any contact with the fourth official whatsoever, he was in my face to the point he distracted me and I didn’t even see the goal. It was unnecessary and totally uncalled for.”
McGregor, Hutton, Cuellar, Weir, Whittaker, Burke, Ferguson, Thomson, Adam, Naismith (Buffel 64), Cousin (Boyd 75).
Graeme Smith, Quinn, Craigan, Reynolds, Paterson, McGarry (Darren Smith 64), Hughes, O’Donnell, McCormack, Porter, Clarkson (Murphy 83).
S Conroy (Scotland).