The pair saw a run of three straight titles at Wimbledon ended in 2019 but have been unbeatable since and were 7-5 6-2 winners over Dutchman Tom Egberink and Joachim Gerard of Belgium.
Reid will aim to make it a double success when he takes on Gerard in the singles final on Sunday.
Britain’s Jordanne Whiley won her first Wimbledon title since before the birth of her son Jackson in 2018.
Whiley triumphed in the women’s wheelchair doubles in 2017 with Japan’s Yui Kamiji while in the early stages of pregnancy.
She and Kamiji resumed their partnership when Whiley returned to the court and the pair defeated Britain’s Lucy Shuker and South Africa’s Kgothatso Montjane 6-0 7-6 (0) on Saturday.
Jackson, now three, joined in the celebrations on court afterwards.