The ceremony — which is largely pre-recorded — excluded several categories from the broadcast and only aired snippets of certain winners speeches.
The Shaun of the Dead director tweeted: "Didn't care for the 'montaging' of many categories on the BAFTAs telecast. Some winners had 5 seconds of their speech shown, but no nominees in shorts, international, documentary & many craft categories had their names mentioned, nor any clips."
He added: "They deserve a national stage too."
Wright also appeared to criticise the broadcasters for prioritising an interview with former Spice Girl Geri Halliwell over the winners speech for Best Documentary: "I mean sure… interview Geri Haliwell but I’d love to see the Navalny winners speech."
Read more: The full list of Bafta winners
Airing on the BBC and hosted by Richard E Grant and Alison Hammond, the 2023 Baftas received largely mixed reviews with Hammond's interview style criticised while Carey Mulligan was mistakenly declared the winner of Best Supporting Actress.
All Quiet on the Western Front was the surprise big winner on the night taking home seven awards from 14 nominations including Best Film.
The film also won for Best Director, Best Adapted Screenplay, Best Film Not in the English Language, Best Original Score and Best Sound.
In a surprise filled ceremony, Austin Butler also won Best Actor for his portrayal of Elvis Presley while Barry Keoghan took home Best Supporting Actor for his performance in The Banshees of Inisherin. Kerry Condon also won Best Supporting Actress for her widely acclaimed performance in The Banshees of Inisherin.
The awards were also notable for largely omitting or completely ignoring other awards season contenders such as Top Gun: Maverick, Women Talking and The Fabelmans.
Watch below: Richard E Grant almost breaks down in tears at the BAFTAs