Team HawkeyevsTeam Beast Boy

Team Beast Boy Cyborg [Mother Box] vs Iron Man {Cyb would jump at tech guy}
Raven {would feel his magic} vs Thor
Starfire vs Black Widow and Hawkeye {these 2 fight together}
Beast Boy {would jump at Green Guy to annoy him} vs Hulk
Robin (Dick) vs Captain America {would remember Bucky}


Cap wouldn't be going all out on Robin for starters due to remembering Bucky (would be mostly a 1v1, both measuring each other skill levels, Robin quickly realizing he is amped, probably even figuring out he was drugged to achieve those levels).

Beast Boy would be annoying Hulk a lot (unknowingly buffing him by increasing his rage)

Starfire would get worried for Beast Boy vs Hulk seeing he has Super Strength but Robin would tell her to focus on her opponents (she would be one upped a bit by Hawkeye's and Black Widow's explosives, but would just be a bit of jobbing to show they ain't trash. At max would knock the wind out of her a bit [her encounters with Cheshire in Earth 1 and New 52 do show huge explosions can harm her])

Cap would notice Robin is the tactical link/leader of the team (much like himself) and start going more agressive {from now on none of them will be able to give tips to the rest of the team as they are focused on each other} [in response Robin would start to press on the gadget use, if Cap threw his shield Robin would use a magnet gadget to keep the shield away from Cap's range, then using Flashbangs (Cap would still be able to hear Robin and fight blind {Robin, due to his detective+tactical abilities and own capability to fight blind using sound, would notice that and use sonics to further slow Cap down}), Knockout gas (Cap would slow down but healing capability would make sure he remained awake), finally, noticing Cap still wouldn't be easily K.O.ed despite all that, Robin would take his rope (very durable) and proceed to tie Cap up, then proceeding to beat him down].
>But that of course would be happening as the other fights were ongoing

Raven would try to get into Thor's mind only to be briefly overwhelmed by the God Status of the Mind

Cyborg would notice Raven having trouble and realize they can't be going easy on these guys, he would then just use his Mother Box [New God tech far beyond anything Tony has] to hack Tony and force him to fight Thor. Cyb would even go further down the line and fully hack the entirety of Tony's tech, even finding out all about all the Team Members due to Tony's archives (simultaniously passing all these archives to Robin {would have access via "Detective Mode"} to when he is avaible to look into them to make strategies, as is their normal procedure) and easily being able to access all of his many armors, making him activate Tony's orbital sattelite and summoning all of Tony's armors and drones to use against the Avengers.

Cyborg would easily notice Thor is the highest threath by far and direct most of this weaponry against him to distract the God.

Analysing that Thor's Hammer is made of Uru (and reading Tony's archives on the Thor clone and the Thor Buster Armor + other stuff Tony knows about Thor) he would tell the Mother Box to find what is the Sun the Dwarves use to mold the Uru metals, when that is locked, once Thor threw his hammer during combat against Tony's machines, a Boom Tube would teleport it to said Sun and Cyborg would take the chance to also Boom Tube every member of the Avengers to one of the active Apokolips Fire Pits minus Thor [he knows Thor can resist the Power of a Sun], that he would teleport directly to The Entropy at the end of Time {as the Mother Box once did with Doomsday}

Titans win

Team Hawkeye Basically Thor and Hulk vs Raven and possibly Starfire.