Many parents feel entitled to respect from children. This is a common attitude towards children on the part of parents. However, the fact of the matter is that respect in biblical times was a thing in children, but only in the form of closeness to parents.
The acronym of mutual respect is denoted as part of the Christian doctrine of mutual submission, with the burden of proof falling squarely on the part of parents. See Colossians 3:20-21 KJV:
Children, obey your parents in all things: for this is well pleasing unto the Lord. Fathers, provoke not your children to anger, lest they be discouraged.
The Greek root word translated "obey" is υπακουο (Latin: hupakouo) and refers here to secure, vulnerable rest in the love and submission of parent. This word ultimately refers to a secure attachment between parent and child in the family home. This secure attachment comes from parent submission, where children are to submit to their children, giving to children without receiving, from beneath yet from above, expecting absolutely nothing in return. See also Matt. 22:35-40, 25:31-46
The Greek root word translated "provoke...to anger" is ερεθιζο (Latin: erethizo) and refers to damages or offenses, namely the slightest of personal offense perceived by a child, including, but not limited to, the slightest of offensive touch or speech perceived by a child, stemming from entitlement. This commandment was intended by the Apostle Paul, and was understood in its original context, as a moral statute prohibiting all forms of punitive parenting, including, but not limited to, any punishments, reprimands, or other controlling demeanor towards children. In the Old Testament, punitive parents were put to death by way of bloodletting, after punishing their children one last time. The parents who punished their children were charged with kidnapping, with "kidnapping" being defined under the Law as the slightest of damages or offenses stemming from hostage-taking - child punishment was seen as holding your child hostage merely for things that they did wrong, thereby treating your child as a quartered slave. Paul here was lifting up the Law in order to convict a group of Greek Christian parents who brought their pagan custom of spanking and punishing children into the church. Paul, contrary to popular legend, was anti-spanking, and opposed any and all punishment of a child in his secular writings. Paul may not have gotten along with the women of the church, but he sure loved children, and even took in a few orphaned children during his time as a deacon.
Respect for parents was a thing in biblical times. However, this respect for parents in the Bible, as understood when using the context as a guidepost, came in the form of closeness to parents, as opposed to fear of parents. For the first 6 years of childhood, children were in constant closeness to mothers, meaning that wherever mothers went, so did her child. For the first 2 years of childhood, children were constantly held by mothers, either in her loving arms, or on mom's back in a papoose bag when her hands are full. Between aged 2-6, children ranged next to mothers, following mom from room to room, not allowing mom out of their line of sight, morbidly fearing that mom would "go away and never come back". Whenever children cried, mothers cooed at the child before picking them up, and from there, mom diagnosed the need and then met it. Maybe the child was tired. Maybe the child was hungry. Maybe the child needed mom's milk. Maybe the child needed mom, period. When children under age 6 were out and about in public, mom wrapped up the child next to her bosom in swaddling blankets, with the swaddling blankets - and the child with them - being tucked underneath the loose-fitting, revealing dress that resembled an apron. Come nightfall, children co-slept next to mom in skin-on-skin format, with this co-sleeping warmth happening every night, until the onset of puberty, which was when children usually wanted their own place to sleep. Children went naked wherever they went, with mothers also going naked within the confines of the family home. This birth nudity setup helped facilitate easy skin-on-skin contact, with skin-on-skin warmth happening every time a child was even picked up.
Children growing up in the Early Church did respect their parents, but not like you might think. Children then were cooperative with their parents in most cases, but in an affectionate way. Children were in constant closeness to parents in biblical times, in a playful and connected way, with children attached at the hip in relation to mothers. Mothers were the primary caregivers of children, with children relating to fathers as a secondary attachment. Children never feared parents in biblical times, and ran to mom especially when they got in trouble.
Parents are not deserving of respect from children just for existing. Instead, parents have to earn their child's respect, as opposed to respect coming for free from children. Parents are non-deserving of any respect from a child. Not even cooperation. Not even affection. Nothing. Nada. Zilch. The way to earn respect from a child is attachment parenting.
The depraved and entitled parents who provoke their children to anger through punitive parenting will not inherit the Kingdom of God! Let them be cast forever into the lake of fire and burning sulfur, which is the second death prepared for Satan and his accomplices! Let them descend into the abyss which is the ever-burning Hell of fire and torment, suffering God's Wrath day and night forever and ever! Repent, for the Kingdom of Heaven is at hand!