Mazdaspeed protege issues

recently purchased a msp and owner said it needed a turbo or wastegate so I replaced the turbo along with the wastegate and a fresh set of gapped plugs. I have the car running now but anything over half throttle and it begins too cut out and jerk. This also happens at anything over 4 pounds of boost. Any thoughts ?
2003.5 MSP
Sounds like you're experiencing fuel cut out.. Double check all intake and intercooler pipe connections are tight and free of cracks. A smoke machine is incredibly helpful.