I have this question: Should we use the to-infinitive after should in this case?
- Should he (to) take his offer seriously, we will have to reconsider our proposal.
When should we and should not use 'to-infinitive' after should in such constructions?
The general rule is with the auxiliary words "should/would/could/can/must" you need to use the so called "bare infinitive", without the word "to".
Should he take his offer seriously, ...
However with other auxiliary words the situation might be different:
Were he to take his offer seriously, ...