What grace is he wanting them to abound in? -> The same grace that the Phillipian church was praised for Phi 4:14-17.

Paul is very careful to not speak directly of money. That is because he did not want to be considered mercenary. But, it takes money to minister. So, the church at Thessolonica was being encouraged to support the Gospel with their offerings.

It is gracious to give. And, if one is giving to the Gospel, there will be more grace poured out upon the giver Luk 6:38.