advice, orders, requests, suggestions about things that need to be done or are desirable --> that + should + infinitive

They have proposed that Jim should move to London.
Alice thinks that we should avoid driving through the centre of town.
I suggested that Mr Clarke should begin to look for another job.
It has been agreed that the company should not raise its prices.
They directed that the building should be pulled down.
The report recommends that the land should not be sold.
We urged that the students should be told immediately.
We insist that the money should be available to all students in financial difficulties.

In formal contexts, particularly in written English, we can leave out shouls but keep the infinitive (=subjunctive).

They directed that the building be pulled down.
We insist that the money be available to all students...
It was agreed that the company not raise its prices.

less formal: They recommended that he gives up writing.
more formal: They recommended that he give up writing.
= They recommended that he should give up writing.

Note also: They recommended that he gave up writing. = he gave it up

Other verbs that are used in a reporting clause before a that-clause with should or the subjunctive:
advise, ask, beg, command, instruct, intend, order, request, require, stipulate ('vaatia'), warn; also with nouns related to these verbs

We can use should in a that-clause when we talk about our own reaction to something we are reporting.

I am concerned that she should think / she thinks I stole the money. (Not an infinitive.)

We can also use should / subjunctive: that + it + be + adjective (crucial, essential, imperative 'välttämätön', important, (in)appropriate, (un)necessary, vital)

It is important that she (should) understand / she understands what her decision means.