"support and backing" is correct and can be used in written English.
You can use this phrase to refer to a form of help, assistance, or encouragement that someone or something is receiving, like this: The project received a lot of support and backing from the local community.
The amazing fans have given me incredible support and backing.
Candidates who support those principles will get the group's support and backing.
And if they wanted to bid, they would then need to secure federal and state government support, and backing from sport and business sectors, in early 2017 before the AOC could consider the bid in the latter half of that year.
Songs from that 70s Laurel Canyon folk-rock-echoing set, recorded with rootsy LA rock players Dawes – who pull a double-shift tonight as both support and backing band – reveal an emotionally matured descendant of this once doe-eyed, Dylanesque poster boy for angsty, lo-fi indie rock.
Gulf doubts regarding Iran's ability to move away from hardliners persist, but the Gulf decision has been to highlight appreciation, support, and backing for a moderate Iran.
The actor was initially hesitant to play the part (calling it "tricky and tough") because he couldn't relate to the character; according to him, he would not have been able to do it without Gadhvi's support and backing.
"In the time I've been here, they've given it 100% support and backed every decision that the manager at the time has wanted to do".
They need supporting and backing.
"Some of us have had really good months, some of us haven't but, either way, they still supported and backed us".
Since gaining independence from their former colonial masters, it's been a rough ride with mostly autocratic regimes supported and backed militarily by the major powers.
They have also provided support and back-up throughout.
