My fiancé is the same way.
No I don't lift my kids. I have a high risk pregnancy so my doctor told me absolutely no lifting or straining.
Do you lift your children? Trash isnt heavier than them. If he has upset you that much explain it to him. I had to sit down with my bd and tell him my expectations all through my pregnancy. Eventually we found our groove but not until I put my foot down and left it. He just assumed if he didnt do it I would. Proved him wrong when trash was gathered around the can and havent had a problem since.
Men are up and down during our pregnancy too. One day my husband won't let me lift anything or do certain and next time he does the same that your husband did.