In Matthew 25:35-40 Jesus promised a reward to those who cared for his poor. Is this the responsibility of the individual, community, churches and government?
The problem with government is that there is no way to do it justly and caring for the poor becomes an entitlement with as many negative consequences and corrupting influences as there are benefits. When the definition of poverty is reduced to a certain level of income, there is no discretion to tailor to individual situations and needs. It becomes a matter of 'robbing Peter to pay Paul' in which case the government can always count on the approval of Paul. And there is strong incentive to keep that approval intact for the benefit of government.
Long ago Benjamin Franklin once wrote:
. . .I am for doing good to the poor, but...I think the best way of doing good for to the poor is not making them easy in poverty, but leading or driving them out of it. I observed...that the more public provisions were made for the poor, the less they provided for themselves, and of course became poorer. And on the contrary, the less was done for them, the more they did for themselves, and became richer."--Benjamin Franklin 1776
There is nothing in Matthew or anywhere else in the Bible that suggests that it is the responsibility of the central government to care for the poor, though certainly the government can step in to provide necessary emergency services in cases of major national disasters.
And certainly it is the responsibility of government to not divide the people into classes or otherwise create systems and rules that keep people in poverty. And government can go a long way to create socioeconomic incentive that encourages people at all levels to prosper. We are witnessing that very thing in the Trump economy. When the people can believe that things are improving, they see to it that things improve.
The Bible strongly suggests that it is OUR responsibility to care for the poor who are truly helpless in their poverty rather than those who choose to be poor. We may do that individually or how we organize our societies at the local level. And yes, I do think God works through us and multiplies our efforts when we do that out of a genuine and honest effort to help rather that assuage our consciences.
I don't pretend to know the mind of God. But I can't believe he gives much points for our concern for the poor when we pay our taxes and assume that absolves us of all responsibility.