Neither of you should spend each month totting up and offsetting with gifts and concert tickets etc.
Go back to square one.
Tell him you would like to be organised about bills, and also know exactly how much they are, make sure that neither of you are paying more than your fair share (incl him) and because you want to set up a regular savings amount too. (yours - not joint! ).
Put it all on a spreadsheet - all joint costs incl an amount for food.
Split in half (or in proportion to income...but personally I always did half as bills are bills, food is the same cost no matter what the income of the person eating it, and didn't want to feel I was subsidised by a partner. Different if one of you becomes a SAHP).
Each set this money aside every month. In a joint account that the bills go from, use the card from that account to buy food - then you can both see, equally, how much your shared costs are.
Otherwise, he is thinking that he is 'treating you' and offsetting it against an estimated amount - all too messy and will undermine your relationship.
A strong relationship will be based on you both taking equal responsibility for knowing what costs are and paying them accurately.