Mark Hillman, 26, was shot twice in the back and found on a pavement in Lloyd Close, Everton, on 27 April.
Mr Hillman, from Kirkdale, was taken to hospital where he was later pronounced dead.
Two 18-year-old men, both from Anfield, have been taken into custody ahead of being questioned by detectives, Merseyside Police said.
Seven people previously arrested over Mr Hillman's death have been released on bail.
Three men, aged 19, 20 and 35 from Anfield, and a woman, 39, from Everton, were arrested on suspicion of conspiracy to commit murder.
Three women, 24, 21 and 43, were arrested on suspicion of assisting an offender.
Two men have been arrested on suspicion of conspiracy to commit murder after a man died in a shooting in Liverpool.