  In this note, we discuss the gravitational memory effect in higher derivative
and infinite derivative gravity theories and give the detailed relevant
calculations whose results were given in our recent works. We show that the
memory effect in higher derivative gravity takes the same form as in pure GR at
large distances, whereas at small distances, the results are different. We also
demonstrated that, in infinite derivative gravity, the memory is reduced via
error function as compared to Einstein's gravity. For the lower bound on the
mass scale of non-locality, the memory is essentially reproduces the usual GR
result at distances above at very small distances.
