Also speaking in the House on Thursday, McGovern accused the Tories of copying the tactics of the Republican Party in the USA, saying they were hiding huge tax cuts for the wealthy by "dressing it up as money for the middle class".
Austerity will continue to fall on our teachers, firefighters and police.
The IFS said it is not clear yet whether austerity is over.
The party leadership ordered its MPs to abstain from the vote after McDonnell controversially revealed he would not oppose the government's move to increase the higher-rate tax threshold to £50,000 on the grounds that he would not "take money out of people's pockets".
The spokesman said Labour welcomed tax reductions "however modest" for low and middle-income earners, even though it believes that extending the benefit to the highest earners was "the wrong thing to do".
Shadow Treasury minister Clive Lewis told the programme: "We have no choice but to help the poorest and most vulnerable in this Budget".
The current tax-free personal tax allowance is £11,850 for the basic rate, then above this the income tax rate is 20% until your income hits £46,350.
"The UK has been leading attempts to deliver worldwide corporate tax reform for the digital age", said Hammond in the House of Commons while unveiling the budget.
The companies targetted by the tax have yet to issue a formal response to the tax initiative, although shares in Amazon, Google and Netflix all traded lower on USA stock exchanges following the announcement - investors taking in the suggestion that the companies could be in line to pay higher tax bills in the future.
"It's a sensible tax policy to keep these thresholds aligned where we can". One of many measures they have introduced to rig parliament in their favour.
The Chancellor acknowledged such a change would represent a "very big transition" to the way the economy operated.
Johnson said that, in the event that the public finances deteriorate, Hammond had probably "painted himself into a corner" which meant that he would "probably allow borrowing to persist at a higher level" given the political difficulty of imposing tough new spending cuts.
Amid pressure to back up Mrs May's recent pledge that the end of austerity is in sight, the chancellor announced a £100bn loosening of the purse strings on Monday.
However, the IFS warned: "Yesterday's Budget was a bit of a gamble".