Mali striker Sidibe left Stoke earlier this summer while Algeria winger Bouazza, who was at Racing Santander in Spain last season, counts Watford and Fulham among his former clubs.
Both players were suggested to Rangers manager Ally McCoist by Gregory Dakad, the agent who helped broker Bilel Moshni's move to Ibrox.
McCoist told the club website: "The boys are two players who Gregory looks after and they'll be well known to people who know their English and European football.
"They've just come in to have a look at our place and also for us to have a wee look at them. This is their first day as they came into the city last night.
"They trained this morning and they were absolutely fine. They're obviously not up to the same levels of fitness as our lads are but that's totally understandable.
"They haven't done any pre-season training yet and there's no pressure on anybody. We'll make them feel very welcome and we'll see what happens.
"It would be crazy of us not to take the option to bring other people in and have a look at them after the success we've had with Bilel's trial. Both players have good pedigree."
Rangers have already brought in eight players this summer, but none can be registered permanently until a transfer embargo is lifted in September.