Combined Tactics for Sasori and the Third Raikage
-Attaching Chakra Puppet Strings to Third Raikage
Sasori could attach chakra puppet strings similar to how Chiyo did with Sakura meaning the Third Raikage becomes a sentient puppet who possesses a pseudo shared field of vision with Sasori meaning he can react to close range attacks himself or react to attacks from blind spots with the aid of Sasori from a distance.
It also means that Sasori possess a extremely fast and durable puppet which can tank all of the attacks from Orochimaru and Gaara as well as the Third Raikage being able to avoid all sneak attacks from his blind spots.
-Aerial and Distance Support of 100 Puppets
Sasori can also support the Third Raikage from the skies by combating an airborne Gaara with his 100 Puppet army while he fights Orochimaru on the ground.
Alternatively he can also let the Third Raikage board the collective 100 Puppets to achieve a pseudo form of flight which would make fighting an airborne Gaara far simpler, it could also aid him when fighting Manda and Orochimaru's Eight Headed Snake Transformation.
-Iron Sand World Order + Black Lightning Electrocution
Sasori and the Third Raikage can also use a combined attack including both of their ultimate jutsus to create a devastating effect. Sasori's can use his World Order technique to create random branching spikes out of a massive iron sand structure then combine it with the Third Raikage's Black Lightning panther to conduct electricity along the entirety of the structure and electrocute anyone who touches any part of it.
Also the black lightning would eventually demagnetize the structure causing a mass of electrified poison soaked iron sand would fall on anyone below which can give the technique three different purposes which include: poisoning the opponent, electrocution and a iron sand burial.
-Final Resort: Third Raikage + 100 Puppets Swarm Assault
This can be used as a final resort by Sasori and the Third Raikage in a last ditch effort to win the match regardless of the circumstance they are in. Sasori can unleash his puppet army of 100 who all possess poisoned weapons along with the Third Raikage joining the swarm with his lightning release armour activated.
With this they can overwhelm Gaara's Ultimate Sand Defense which would be incapable of defending against 101 simultaneous attacks from multiple different directions. Due to the lethality of Sasori's poison and the Third Raikage's strength even as little as one successful attacks breaking through Gaara's defense would prove to be fatal.
Combined with Sasori's streams of fire it could be used as a fatal combination against Orochimaru due to snakes natural weakness to intense heats could be used to have the overall effect of being able to create a opening for the Third Raikage to land a lethal hit as the 100 puppet army can be used to mask his movements.
Combined Tactics for Orochimaru and the Fifth Kazekage
-Sand covered Terrain + Snake Underground Burrowing
Gaara can use a fairly large scale sand technique for the double purpose of attacking the opponent and covering the terrain in sand. This would allow him to sense Sasori and the Third Raikage wherever they are so he can still know where the Third Raikage is even when he's travelling at speeds too difficult to see.
Orochimaru can also use a sand covered terrain to his advantage as both his snakes and him in his White Snake Transformation would be able to utilize the sand through underground burrowing allowing for sneak attacks and a quick escape from Sasori's 100 puppet army.
-Insulation against Heated/Charged attacks(Lightning and Fire)
Gaara can also help Orochimaru defensively by covering his weaknesses to heat based attacks in his snake form. With his sand Gaara is able to insulate against the heat created by Sasori's streams of fire and the Third Raikage's lightning. He can also protect Orochimaru's summon Manda and any snake related transformation/summon that Orochimaru may perform.
-Defensive Capabilities: Ultimate Sand Defense + Snake Shedding
Both Gaara and Orochimaru have the fighting style suited to combat Sasori and the Third Raikage heavily offensive combat style which strive for one hit K.Os through the use of poison or sheer brute force. However there one hit K.Os won't be enough in this fight due to Orochimaru and Gaara possessing their own unique defenses.
Gaara's Ultimate Sand Defense is a involuntary and instantaneous protection from anything that would cause him harm meaning he can be protected against the Third Raikage's almost impossible to evade assaults and Sasori's sneak attacks which would be fatal and impossible to anticipate due to the intricacy of the design of his puppets.
Orochimaru's Snake Skin Shedding means that he is able to avoid damage from hits that would cause massive injuries or attacks that are impossible to evade. Both his clothes and injuries are fully restored at the cost of a huge amount chakra meaning its a method only to be used to escape highly damaging or fatal hits from the Third Raikage. Also due to his immunity/extremely high resistance to poisons means that Sasori's main offensive isn't much of a threat to him.
-Final Resort: Desert Suspension + Snake Rain Tsunami
Gaara can use his Desert Suspension in a similar style to how he did in the Kimimaro fight to elevate himself and Orochimaru into the air. From that range Gaara can use Sand Tsunmai to create a immense amount of sand to crush/restrain Sasori and the Third Raikage in.
Even if they manage the first wave of this combination attack Orochimaru can a rain down 10000 snakes which would be almost impossible to dodge due to the sheer range of the technique which would bury them in a mass of poisonous creatures. However due to the Sasori being a puppet and the Raikage being too durable neither would be poisoned by the snakes.
The snakes can also burrow into the now snake covered terrain to act as a permanent defense whilst also being to overwhelm them with sneak attacks from all directions due to there being 10000 snakes.