Mohsni scored a second-half header for the Gers in their easy 3-0 win over Forfar Athletic in a third-tier match at Ibrox last night.
His goal and the result helped to ease the pain he felt at losing the Ramsdens Cup final and the William Hill Scottish Cup semi-final.
And the French-Tunisian centre-half revealed that he is still determined to finish the season on a positive note without losing a game in the league.
Mohsni said: "It is a relief to get back to winning games.
"Every time we take to the field we want to win and everyone was frustrated after the two defeats.
"I didn't feel any extra pressure going into the game. You need to win every game that you play in at Rangers.
"Before the match the manager told us that we still had something to play for this season - to go through the whole season unbeaten.
"That is our objective now. It would be very good if we could do that and finish the season on a high.
"We have four games left and will be trying to achieve that."
He added: "I enjoyed my goal and will be trying to score a few more of them between now and the end of the season. It has been a long time since my last goal.
"The last time I had scored had been against Albion Rovers in the Scottish Cup last month. I had been frustrated. But I am happy to score and hope to get a few more now."
Rangers manager McCoist, whose side crashed to a 3-1 defeat to United at Ibrox on Saturday, admitted he was pleased his players had bounced back from two deep disappointments.
He said: "I was delighted to get back to winning ways. We scored some great goals and I thought we were comfortable defensively. I was really pleased with the result and the clean sheet.
"I am not sure relief is the right word. It is just good to get back to winning ways. We have only lost one game in 90 minutes this season.
"It was good to get back to what we have been doing in the majority of our league campaign. Overall, I was really pleased for the squad.
"Now it is important that we try to maintain our unbeaten run in the final four games of the season. They will be difficult games and we are another player [Arnold Peralta] down.
"But we want to go through the season without losing a game. It would be a great achievement. But there are extremely difficult games to play."
Honduran midfielder Peralta limped off with a hamstring strain in the second half and McCoist fears he could be out for at least two weeks.