The Turnbull government has lodged a second series of complaints to the ABC about the network's chief economics correspondent Emma Alberici, this time over her reporting on innovation spending.

However, the public broadcaster has roundly rejected the complaints following an internal review.

ABC journalist Emma Alberici.

Prime Minister Malcolm Turnbull sent a list of 11 grievances to the ABC on May 7 about a television story aired the previous evening about research and innovation spending.

Communications Minister Mitch Fifield also complained to ABC about the story.