I have a child with special needs, but we implemented a chore chart for him that might help you with your 2yo.
Silverware - after the knives and unusual utensils are taken out I put it on the counter above the silverware drawer and call him in (you may want to use a step stool). Worth 1 credit (explained below).
Towels - the wash clothes and hand towels are his domain. Also the towels that button onto the cabinets in the kitchen (great motor skill to button). Every 5 towels are worth 1 credit.
Pick up - Picking up toys after playing (working on doing this without being told). Worth 1 credit.
Trash - taking some smaller bags out to the large can and putting a fresh liner (bag) into the can after it is taken out. Worth 1 credit per 3 cans.
Dusting - my older son usually does this, but every so often the yonger one will grab a Swiffer duster (I love these things) and walk around dusting everything (chairs, toys, people, etc). I award 1 credit for effort.
Homework - This is usually only used in the school year, but we also reward for reading in the summer. (This can be for your older daughter.) Worth 1 credit per subject/page of homework (1 credit per 20 minutes of reading).
I do not pay an "allowance". I pay on "commission". If the child does chores, the child gets paid weekly for what is DONE. Once the child has earned enough to buy something, we take a trip to the store with the money (this also teaches the value of money). I have assigned 5 cents per credit (I'm cheap). My older son just recently asked for a raise. LOL
Please google: Dave Ramsey
His book is EXCELLENT and will go into more detail on this principle.
Blessings,
P. <><