Option 1 -> "carry off" means to succeed at something difficult or to win something, not to conduct research.
Option 2 -> "carry in" means to bring something inside, which doesn't fit the context of performing research.
Option 3 -> "carry over" means to postpone or transfer something to a later time, not to perform or conduct research.
Option 4 -> "carry out" means to perform, conduct, or execute a task or plan, which is the appropriate phrasal verb for conducting research.
Hence, Option 4: carry out -> "Carry out" is the standard phrasal verb used when referring to conducting, performing, or executing research, experiments, investigations, or tasks. The sentence means the manager wants the team to conduct/perform the research and present their findings. -> correct