The phrase "amendment supported by" is correct and usable in written English.
It can be used when referring to a specific amendment that has backing or endorsement from a particular group or individual.
Example: "The amendment supported by the majority of the committee was passed unanimously."
Alternatives: "amendment endorsed by" or "amendment backed by".
On Saturday, the Senate rejected a Republican amendment, supported by a few Democrats, too, that would have blocked that cut.
On 29 January, The House of Commons passed the so-called "Brady amendment," supported by May's government.
The first amendment, supported by the government, was spearheaded by the Conservative MP Graham Brady and called for the government to seek "alternative arrangements" to replace the backstop.
And he joined with most of the Senate Democrats to support an amendment supported by labor groups and widely viewed as harming the bill by limiting the guest worker program at its core.
Peers inflicted a fresh defeat on the government in the House of Lords over the Irish border issue on Wednesday evening, backing a cross-party amendment supported by former Tory minister Chris Patten.
Evan Harris, a doctor and former MP and vice-chair of the party's ruling federal policy committee, will table the amendment, supported by the former cabinet minister Lady Williams, registering their concerns that the current legislation will lead to a widening of UK health inequalities if left unchecked.
Three amendments supported by Democrats were rejected.
They also agreed in principle to a demand to open up the amendment process by giving floor amendments supported by 20 members of each party a path to a vote — though they stopped short of an ironclad requirement.
Faced with certain defeat in Saturday's vote, the leadership accepted two amendments, supported by Baroness Shirley Williams and the former MP Evan Harris, and promised to take the critical messages back to government.
Last year, the FISA amendments supported by then-Senator Obama (despite his earlier promise to filibuster them) conferred on the NSA a vast expansion of its authorities.
"If we don't get the amendments," she said, "we are going to lose a lot of money". Transportation officials agree that higher fees are needed, but they are concerned that some of the other amendments supported by Galanter will take away much of the anticipated gain.
