Striker Waigo, on-loan from Fiorentina, grabbed a goal in the reserves' 3-2 win against Swindon while Jaidi produced a solid display at the back.
Both Waigo and Jaidi were introduced as late substitutes in Saints' 1-1 draw with league leaders Charlton on Saturday.
Southampton's reserve-team boss Stewart Henderson told the Southern Daily Echo: "I think it will take Papa a little while to find his feet with the pace of the game, but he took his goal well.
"He got 90 minutes under his belt and that will be important for him.
"Radhi has been training very hard since he arrived here and I think it was very important for him to get the game under his belt. He would have got through 90 minutes, but I took him off after 80 and he was absolutely fine."