What is the name for the majority requirement in both houses of Congress?

The correct answer is two-thirds supermajority votes or convention called by Congress on application of two thirds

The presidents  may incorporate into the Executive's budget projects desired by congressmen or,  with punishment, exclude from the budget such  projects. Popular presidents can help congressmen in their election campaigns. The second brake is the President's specific constitutional power over Congress: the veto. The President may, by veto,  reject any project approved by the  Congress. A 2/3 majority is required,  in each case, to overturn a veto. It is  such an occasional majority that the simple  veto threat is often enough  to persuade Congress at the time of  vote.

this isn't a question and if you're going to list things be kind and use commas.

a big one is

to appoint and regulate officers of the land and naval forces,

which caused much controversy ending the articles