Is it considered a lie for a wife to feign orgasm to please her husband when she does not reach it? And is it permissible for her to masturbate after intercourse if she does not reach orgasm?

First: There is no harm in feigning happiness when your sexual needs are met by your husband; rather, it is a sign of intellect, wisdom, and good companionship. It is not a lie to tell him of your happiness if your intention is merely to be happy at the sight of him.

Second: Masturbation is forbidden (haram), and it is obligatory to abandon it and repent from it. Realize that it may diminish your enjoyment with your husband and exacerbate your problem.

Third: The problem often stems from two reasons: 1. The husband's unawareness of the problem or his lack of interest in solving it. However, it seems your husband is keen on providing you with pleasure. The solution here is frankness in a manner that does not hurt his feelings. 2. The nature of the spouses in terms of the strength or weakness of their libido. This has a remedy through natural methods, medications, psychological readiness, and undertaking actions that increase love and affection, the most important of which is each person's desire to achieve pleasure for the other.