Lukaku scored late to add gloss to the scoreline, but United had been far from impressive on the night. Pogba was the one making things happen down the left, and the Frenchman just missed the crossbar with a rasping strike in the eighth minute as the home side continued to press early on. But Sam Winnall failed to profit as he dragged his shot wide.
Friday will mark United's 2018 FA Cup debut, as Premier League clubs receive a buy into the third round. Scott Carson played well and the post played well for them.
Pogba then curled one wide of Carson's post moments later as both teams had opportunities after the restart.
Derby have injury concerns heading into match as Tom Lawrence, Joe Ledley and Bradley Johnson are all major doubts.
In the 24th minute, United earned a free-kick on the edge of the Derby box but Mata's effort was saved brilliantly by Carson.
Lingard effectively won it for United in the 84th minute, however, when the Englishman netted his eighth goal in his last 10 appearances - finding the top corner from distance - to break Derby's hearts in the latter stages.
Having set up the first, Lukaku got on the scoresheet himself by finishing off a quick counter-attack after a one-two with Anthony Martial to ensure United avoided a troublesome replay at the end of a hectic festive schedule.
No Xiaomi Redmi Note 5, Redmi 5 Plus Takes It Place
Under this category, the Mi Router 3C will be available for Rs 999, the Mi Wi-Fi Repeater 2 will be priced at Rs 799. The Mi In-Ear headphone Pro will be priced at Rs 1,799 after getting a discount of Rs 200 during the sale.
Pence postpones trip to Mideast, citing vote on tax bill
However, Pence's office confirmed on Monday that his visit would be pushed back again until January 2018, Politico reported . The leader of Egypt's Coptic Church had already cancelled his meeting with Pence to protest the United States move.
Arsenal 0 - 1 Liverpool: Tops & Flops of the first half
Wenger sent on centre-back Shkodran Mustafi for Nacho Monreal, but the fault-lines in Arsenal's defence were still being exposed. That means Alexandre Lacazette leads the line with Jack Wilshere in midfield and Ainsley Maitland-Niles at full back.
Black Lives Matter activist Erica Garner dies at 27
After news of Garner's death broke, many took to social media to pay tribute to her. "People are dying", Garner said in the video. A number of Black Lives Matter activists and prominent politicians have praised her life and fight over the past few days.